My Hero Muichirou

Tokito Muichirou wakes in a battle field with no memories. All he remembers is how to use a sword, his name, and that he's a Hashira.
A girl goes to the Physical Entrance Exam and absolutely demolishes it. Strangely enough, she wasn't on the roster for the exam, and she didn't do the written exam. Nedzu is just strange enough to accept her into the Hero Course--class 1-A, at that.

OR: Muichirou spawns in the middle of the physical entrance exam with absolutely NO memories WHATSOEVER except his name, his Hashira/swordsmanship training, that he's a Hashira (but not all of what that entails), and a few misclananious things. Then Nedzu decides to play favourites and accept him into class 1-A. (Plus almost everyone thinks he's a girl at first so we get a bit of gender non-conforming Muichirou!!)
OR OR (/TLDR): 95% amnesiac Miuchirou isekaid into MHA fic +Shouto & Muichirou QPR because I'm actually feral +Genderqueer Muichirou +Quirkless Muichirou +Izuku idolising Muichirou +Nedzu playing favourites