I'm interested, powers or no.
You can always have powers but no fighting, after all. Instead of using them for fighting, they could use them to progress with the plot, whether it be it solve a mystery or fight a greater evil. For example, the students would use their powers and/or special abilities to fight an army of zombies.
When making an anime based high school RP, its good to research up on anime/manga solely based on school life. haven't read that much on the subject, but from what I've seen the plots are mostly about romance or complete randomness.