PaleKittenVoid's Sweet Shop (AU Book)

Haikyuu×BNHA

No quirk crossover - or I could give them quirks, but they wouldn't be super important.

UA is a national level school when it comes to sports, not just volleyball.

They are also unique in that they have coed teams in addition to the gender specific ones.
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Izuku is Hinata's cousin. They haven't seen each other in person for a few years, but are always massaging each other back and fourth.

UA decides to have an unofficial tournament of sorts and invites a bunch of different schools to participate, one of them being Kurasuno.

Kurasuno's team gets there and most of them noticed how excited Shoyo has been, but they just brush it off.

They meet the principal and then the guide that will be showing them around campus and it's none other than..

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"IZUKU!" Hinata screeched as he talked the green haired boy.

Daichi and Sugawara were about to pull him off and scold him, but stopped when they realized that the two of them were talking to each other in a speed that was difficult for everyone else to decipher.

After Izuku and his ginger cousin calmed down he turned his attention to the rest of Shoyo's, very confused, team.

The greenette smiled at the crows befor bowing apologetically, "I'm sorry about that." He said standing up, "My name is Midoriya Izuku, I'm the one who's going to be showing you around." He continued, "I'm also Shoyo's cousin." He a little awkwardly, scratching a freckled cheek.
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Now, I mentioned that UA was a sports school in general meaning not just the volleyball team(s) will be focused.

Shoto is a competitive Ice dancer (Much to the displeasure of Endevwhore who wanted him to be a hockey player).

Katsuki does competitive cheer leading along with Momo.

Uraraka is a female wrestler.

Shinsou does gymnastics, and is also a manager for one of the volleyball teams.

Izuku himself is a volleyball player, but he does a few other things, as do most of the students at UA.

Give me some suggestions for the rest if the students (1-A, 1-B, Hatsume, The big 3, and the L.O.V.)
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I'll add more to this later.