Everyone thank Liz Mancz for doing awesome writeups of the first two chapters of Bakufuu-I have been wanting these for so long(it was my favourite story), I finally understand everything(well, almost everything^_^)  Liz, you're my hero! :)
 Part 1  Part 2  Part 3  Part 4  Part 5  Part 6

Part 1 (December 1997):

First page shows a hand tossing an athletic shoe, while feathers float down around it.
Then we see the title page with our two main characters[ed.: I wish I had this picture, I love Takaomi...ok, I'll stop drooling]
The scene opens at Shiratori Academy, an exclusive school for girls.  It's flower arranging class, and one of the students is not quite getting it...  in fact, she's thrown her flower scissors so hard, that they're embedded in the wall, and the teacher is a bit traumatized by that!
Meet Hanazato Tsugumi, first year student!  Her friend, Suzu, gently points out that she's upset the teacher...
Count Rumieru appears.  He seems to be the idol of the school to everyone except Tsugumi.  She seems to find him annoying.  He announces that a girl will be chosen as Miss Madonna of Shiratori -- and that that girl will compete in various events -- the Queen contest.
Later on, Tsugumi and Suzu are sitting outside.  Tsugumi is orating about something (I can't tell what) while Suzu patiently listens.  Suddenly, Tsugumi whips out a spagetti roll that Suzu gave her.  She's really thrilled about having it (Tsugumi loves to eat!)  They are interrupted by Ayaka-senpai.
Ayaka is a beautiful older girl -- and a Shiratori, related to the family that founded/owns the school.  She seems to like Tsugumi, and is teasing her about something, that causes Tsugumi to become uncomfortable.  Tsugumi is backing off, and has started to eat her roll,  when she's knocked out by a spinning blow to the head delivered by a tanuki! (or a raccoon -- I'm not clear which this is supposed to be!) He grabs the roll and when Tsugumi yells at him, delivers a kick to the jaw and runs off with the roll.  Tsugumi is in hot pursuit while Suzu and Ayaka look on with long-suffering looks on their faces.
Tsugumi follows the tanuki to a large tree, and is looking around to see if she can spot him when she hears a rustle in the tree.  She takes off her right athletic shoe and throws it into the tree. A dark haired and cute boy falls to the ground.  He picks up her shoe and asks if it's hers.  Tsugumi says it is, and wants to know why he is on the grounds of the Shiratori Academy, when he's from Shokaku School for Boys.  They argue, but it's cut short by the tanuki, who drops onto Tsugumi's head, yelling, "I'm hungry!" (I think -  "Ore wa Araiguma da" is what he actually says.)
Tsugumi chases him back up into the tree, and finds that her shoe has disappeared from the boy's hand.  They argue some more, and Tsugumi makes the boy so angry that he punches the tree beside her head.  He's got her pinned against the tree and tells her something threateningly -- she's somewhat daunted by that.  He turns away and leaves.  Tsugumi has been turned away from him, trembling, but I think it's from anger, rather than fear.  She turns back to see him gone and starts to go after him, but is stopped by Count Rumieru's whip, which wraps around her.  The raccoon eats the spagetti roll.
That evening, Suzu offers Tsugumi a ride home in the limo that has come to pick her up, but Tsugumi cheerfully refuses -- she'd rather walk.  She's got her school shoes on, in place of the athletic shoe she never got back!
As she walks briskly through a park, boys from several schools, who are talking, see her and comment on how attractive she is.  She passes a guy in a school uniform sleeping on a bench, and does a double take -- it's the guy from the tree!  She is about to pass him, when she hears some guys talking to him.  They're from another school, and it looks like they are trying to start a fight -- but the tree boy doesn't even wake up.  They kick the bench over, and he STILL continues to sleep!
Tsugumi is furious.  She grabs the boy by the lapels and wakes him up, yelling at him, probably about not standing up for himself!  The two boys make some rude comments about the two of them and their schools, and Tsugumi and the boy get angry.  They punch the boys, and send them flying, saying something simultaneously (The only difference is that they each use the name of their own school!).  The two boys are out of it, and the two stare at each other for a bit, then Tsugumi give him a big "beeda" and stomps off.
Ayaka who has been watching from a distance, seems interested that the two of them have met.
The next morning, Tsugumi is looking for her sneaker and is frustrated that she can't find it!  She's finally dragged off by Suzu, to class.  In the tree, the boy is lounging on a branch, thinking what a noisy woman she is, when the sneaker drops on his head.  The tanuki had taken it and hidden it in a hole in the tree.  Because the hole is full, the shoe fell out.   The boy decides to return the shoe to Tsugumi and sets off across the campus in a determined fashion.
Meanwhile, Count Rumieru is about to choose the Madonna of Shiratori.  He's standing on a balcony, and all the girls are gathered on the lawn below him.  Ayaka, Tsugumi and Suzu are all standing together.  The tree boy sees the girls, and doesn't want to go up to Tsugumi with that crowd there -- so he stands at the edge of the lawn, among the trees. Rumieru has a fancy bow and a arrow tipped with a rubber sucker point.  Whoever he hits with the arrow is the new Miss Madonna.   He's aiming for Ayaka, whether because she's a Shiratori, or because he has a bit of a crush on her, I don't know.  He releases the arrow, and it flys towards Ayaka.  However, at the same time, the tree boy throws the sneaker at the back of Tsugumi's head.  The sneaker hits Tsugumi, and she stumbles forward, into the arrow's path.  Tsugumi is the new Madonna of Shiratori.
She doesn't realize it at first -- she's been knocked silly by the almost simultaneous blows!  The boy decides to go take a nap, while Suzu congratulates Tsugumi, who wants to know what happened!  Count Rumieru is disconcerted -- Tsugumi is not at all what he had in mind!  Ayaka is pleased, however, and with a smile, crowns Tsugumi as the Madonna.  As another girl hands Tsugumi her scepter, Ayaka congratulates Rumieru on his choice.  He's very noncommital about it!
From another building, two young men are watching the "ceremony".  (They look exactly like Sahara Leo and Okami from Seishun Shiteru Kai, and the two older brothers from an earlier story that Azuki-sensei ran -- the Superfamily Yamada.)  They say something about "OUR Madonna"....  meanwhile, the tree boy and his tanuki are asleep.

Part 2 (January 1998):
Cinderella is preparing for the ball... but Tsugumi is having a hard time of it!  She's especially hard on her partners, and the Count is not amused.
Later on, we see Tsugumi letting off some steam playing video games, while Suzu watches.  Suddenly, a guy appears behind her.  He introduces himself as Kijijima.  His friend Shigimiya shows up immediately after.  The two introduce themselves to Tsugumi and Suzu-- and are very attentive to Tsugumi. Tsugumi, who is rather taken aback by all this attention, gets into the limo with Suzu and they drive off. The boys are disappointed, but plan to try again (I don't know what they are planning, darn it!)
On her way to school the next day, Tsugumi meets Kijijima and Shigimiya again.  They are pretty funny as they vie for her attention -- Tsugumi seems a bit embarassed by the whole thing.  Count Rumieru shows up and sends the guys away...  At school, Ayaka asks where Tsugumi is, and Suzu tells her about the boys.  Suzu seems a little worried about what's going on, but Ayaka assures her that it will be ok.
That afternoon, Tsugumi is window-shopping, when she meets the tree boy again, with his tanuki.  They get into an argument of course... only to be interrupted by Kijijima and Shigimiya.  The two of them are all over Tsugumi, which seems to displease the tree boy.  The two go to the same school, and they tell Tsugumi that her tree boy is really Hououji Takaomi, a first year student. Kijijima puts a hand on Takaomi's shoulder and is knocked out by the tanuki...  Shigimiya tells Tsugumi something about Takaomi that upsets her... I don't know what, darn it..
This doesn't stop her from eating lunch with him.  She's brought spagetti rolls for the three of them.  Ginjirou, the tanuki is munching away at his, but Takaomi seems reluctant, so Tsugumi crams it into his mouth.  She's all smiles and happy chatter as they eat.  Takaomi isn't so cheerful, but he stays.
Later, we see Tsugumi in her ball dress.  Count Rumieru is giving her some last minute instructions, but as she walks in with the other girls, she looks lovely.  She's very uncomfortable, though.  Even the arrival of Kijijima and Shigimiya don't help.  But then she sees Takaomi walking in the garden, and is much happier (gee, I wonder why???)She goes out to talk to him.
For some reason, she goes up a tree - possibly because she sees Kijijima and Shigimiyu coming and doesn't want to meet them.  The two of them see Takaomi and get rough with him.  They slam him into the tree, and yell at him.  In the course of the conversation, Tsugumi finds out that they've been lying to her -- the two of them aren't falling in love with her -- they're just paying attention to her because she's Miss Madonna.  She's up in the tree getting angrier and angrier, when Takaomi pulls her down into his arms.  I guess he decided that the two of them said enough.
Kijijima and Shigimiya are totally embarassed, and are trying to get back into Tsugumi's good graces.  We can't see her face at first, but then, she smiles at them, and lets them take her back to the ballroom.  Takaomi just watches.  Once there, she throws them all over the room, and tells them off at the top of her lungs, then stomps out of the ball room and back to Takaomi.  A smiling Ayaka delivers the coup de grace....
Outside Tsugumi is upset because her dress has gotten dirty.  Takaomi smilingly (I know you said he didn't smile at her until the end of the series, but this sure looks like a smile to me!)[ed. hey c'mon, I missed this chapter^_^], tells her something that ticks her off, and they're back to fighting again!  The chapter ends with Count Rumieru after Tsugumi with his whip again....

Part 3 (February 1998):  In February's issue, she was chosen to be Shiratori's entry into the Queen Race, a very difficult horseback riding competition.  She didn't want to, as she didn't even know how to ride, but Count Rumieru strted giving her lessons.  She had problems finding a horse as a companion.  She chose to ride Momoe, a new horse that was less highbred than the other horses.  But Momoe wasn't very cooperative either.  Her first time riding Momoe, Tsugumi ended up in a tree.  In the tree, she encountered Takaomi, a guy going to the neighbouring boys school, taking a noontime nap.  She surprised him awake and they fell out of the tree.  Tsugumi was curious about "Minako", because Takaomi said her name in his sleep, but he was pretty touchy about it, so she left him alone.  Later, she found a way to bribe Momoe because the horse was a big fan of a music group called V3.  Yes, the horses here talk, to each other, and I think sometimes to the people.  Anyways, so Momoe and Tsugumi worked hard for the tournament and got a lot better.  The day before the tournament, they again met Takaomi, who was skeptical of their chances.  Tsugumi tried to cheer Takaomi up, coaching him to be more forceful and mentioning "Minako" again, but Takaomi just said that works for Tsugumi because all her problems are simple to solve and walked away.
    The day of the competition we meet a new character, Fujin Benikujaku.  She's really snotty and says that Shiratori has no chance of winning.

Part 4(March 1998):
    In March we find out that the horses have gotten sick because they had food poisoning, but Momoe was okay.  Outside, Momoe and Tsugumi are having a disagreement with Benikujaku and her horse(some would call it a brawl) and two boys(I guess from Takaomi's school) make some comments, but are stopped when Takaomi neatly lands on their heads.  He wonders why he did that, and the race starts.  Momoe remains in the blocks, looking stunned, I don't know why.  They do catch up though, and Benikujaku is in the lead.  Momoe overtakes her, but Benikujaku manages to jump through a big rose covered hoop first.  After she gets through, the hoop bursts into flame.  Takaomi sends some help, namely his pet raccoon, who chomps Momoe and sends her flying through the hoop.  Benikujaku glances back to see what looks like a flaming demon, and Tsugumi gets right beside her.  However, Momoe is getting a little too excited and thinks that the group of bystanders nearby are the members of V3(actually, they're Takaomi and the two guys from before, who are wondering why Takaomi knocked them down earlier).  With Tsugumi still holding on to Benikujaku, Momoe charges towards the audience and causes a panic.  The two guys get kind of trampled, but Takaomi jumps aside and notices that Momoe is out of control and headed straight at a concrete wall.  Showing amazing horsemanship, he swings up behind Tsugumi and brings Momoe to a halt before they crash.  Unfortuantely for Benikujaku, she wasn't so lucky and she smashed into the wall with her horse.  Tsugumi looks up at Takaomi, but Momoe rears and topples them off while neighing "Where is Goro?!"  That's her favourite V3 member, and the one that she mistook Takaomi for.  Tsugumi and Momoe are upset with each other, and start exchanging blows, while Takaomi watches. The announcer says that Tsugumi and Benikujaku are both disqualified for leaving the course, and Count Rumieru looks very unhappy.  As Takaomi is leaving, Benikujaku jumps in and starts a tirade against Tsugumi, but stops when she notices Takaomi.  She recognizes him.  Tsugumi is trying to figure that out, and then Benikujaku challenges Tsugumi.  It looks like next month we'll be hearing some angry words from Count Rumieru, as he is standing in the background with an upraised whip and glowing eyes.
I love this series.

Part 5 (April 1998):  Tsugumi has to be Juliet for a play, and she complains because Kijijima, who plays Romeo, is getting too into the part.  She tells Takaomi to wake up(he's napping during the rehearsal) and then asks how he knows Fujin.  He says he doesn't.  Then Ayaka says when they were little, at a party Fujin tried to pick Takaomi up, but he shunned her(actually, he was just taking off to go sleep).  Someone says, this year, try hard in the play, and says not to have it called off like two years ago.  Tsugumi doesn't understand and Takaomi ignores that remark and says he's going to buy Ginjirou some food.  Tsugumi doesn't want to work anymore and says she'll come too.
    Later, Tsugumi and Takaomi are sitting outside and Tsugumi is reading the play.  She doesn't like how the play has such a miserable ending, and thinks that Juliet is stupid for committing a double suicide with Romeo.  She says she should just marry the rich guy.  Takaomi says you can't help who your heart chooses, and Tsugumi is going to ask him what he means when the Count finds them.
    Later, Ayaka tells Tsugumi that two years ago, that year's Miss Madonna had a fiancé chosen by her parents but went out with someone from Shoukaku.  That Miss Madonna was Takaomi's fiancé, Minako.  Tsugumi is shocked.
    On the day of the play, Takaomi asks Tsugumi what's wrong because she has a weird look on her face, and Fujin shows up and gloats that the play is ruined.  She and her minions have ruined all the costumes.  Tsugumi is really angry, but determined that the show will go on.  The audience is surprised when it turns out that this play takes place in the Heian period.  During a sword fight, Kijijima and Shigimiya start giving Takaomi a hard time because he humiliated them before(I guess at the horse race?) and Tsugumi gets mad because they're screwing up the play.  She enters as another swordsman, a friend or servant of Takaomi's.  Then Fujin launches her second plan and all the actors are hit on the head with various things.  Fujin shuts up when three well-aimed swords miss her, but still has something up her sleeve.
    Kijijima(Romeo) is unconscious due to several blows to the head, and the Count is manipulating him like a marionette. Takaomi thinks back to when Minako left, telling him she had to go her own way.
    Near the end of the play, Tsugumi is playing dead and Kijijima is going to kiss her(though he's still unconscious and actually has blood dribbling down his face).  Before he can, one of Fujin's servants causes the wall behind the actors to fall on them, not knowing how heavy it actually is.  Tsugumi is saved by Takaomi(apparently Kijijima got another whack on the head).  Fujin runs away with her hair in flames again thanks to an errant candle, and before Tsugumi can chase her the Count gets quite mad.  Tsugumi gets back into character and ends the play by falling in love with Takaomi for saving her and going off with him.  As they leave, a mysterious guy with a camera and a campus newspaper badge watches them and seems   to recognize Tsugumi...

Part 6 (May1998)-The conclusion!!!  Tsugumi and Takaomi are walking along, Tsugumi happily eating a spaghetti roll, when the camera guy takes a picture of her with it stuck in her mouth.  She recognizes him and calls him by name, surprising Takaomi, and Karasuma(the guy) makes a comment about how much she's moved up in the world.  She goes to punch him, but he stops her by taking her picture.  She can't seem to do anything, and is being pulled away by Takaomi when he makes another comment about her 'involvement' with Takaomi.  This time he does get punched, I'm not sure whether by Takaomi or Tsugumi, and is left to think that this is becoming interesting.
    Tsugumi explains how she knows Karasuma: he was at her previous school and one day asked her out.  She agreed and then lots of guys popped out of the bushes congratulating Kurasama on getting 50 acceptances in a row, even from Tsugumi, the worst-tempered girl in school.  She then humiliated him by roundhouse kicking him into tomorrow, which ended up being on the school newspaper front page (I guess instead of his love success story).  Takaomi asks if she kind of liked him, and she doesn't respond.  He says she has bad taste, and she fires back a comment about how she's probably way different than Minako, which makes Takaomi mad and he agrees, saying Minako was always a real lady.  Tsugumi knocks him down and storms off, but is stopped by scre ams from the tennis court.  She asks what's wrong, and the girls says that some weird guys were taking pictures of them.  Back in the school, Ayaka has found out why all the cameramen are around: it's a contest to get the most embarrassing(I think) picture of the girls at that school.  Tsugumi gets mad because Karasuma is dragging everyone into this just to get back at her, and swears to get even.  They set traps and scare off the guys, which pisses Karasuma off because his plan is ruined.  Tsugumi is walking in the woods, thinking about Takaomi and Minako, when she's dragged off, leaving only her sneaker.
    Takaomi is also walking thinking about Minako and then how annoyed he is with Tsugumi, when he runs into Ayaka, who asks him if he knows where Tsugumi is because she's late for tea.  He asks why he should know,  when Ginjirou does a spinning screwdriver into his head and draws his attention to Tsugumi's shoe, lying on the grass.
    In a closed off room, Karasuma has tied up Tsugumi.  She's breathing fire(literally) but she can't do anything, and Karasuma says he's going to create a huge scandal and seems like he's about to kiss Tsugumi when...Takaomi kicks him into the wall and saves the day.  Behind him comes an army of female students, and Karasuma tries to run away, without success.  The girls triumph and get a very flattering picture taken for the newspaper.  Later, Ayaka and her friend gloating, and the snotty guy from Takaomi's school asks if they're not embarrassed by the kind of publicity that Tsugumi brought to the school.  Ayaka says no, because she hates it because people take them lightly because they're ladies, and Tsugumi proved them wrong.  Tsugumi is offering all her food to Takaomi, thanking him for helping her all those times, and Takaomi says she hsould just act a little more mature.  He's joking though, and actually SMILES at Tsugumi(only time in the whole story-ok, the second time).  He says that it's never boring when she's around, and she thinks of how he helped her so many times, and she thinks he seems like a prince(maybe a knight in shining armour?)