The first type of story I want is something similar to The Breakfast Club. Pretty much, just a group of kids from different colors of the spectrum that come together and become friends, and then all the fantasy/sci-fi/etc stuff that goes on after they become friends.
The second type of story I would like is where a kid skips or misses a day of school and something happens to him because of what he did.
I just read Soratobi tamashii and one of the one shots in that (fourth i think...) has a girl skipping school and meeting someone strange. She basically ran away though, so not quite a simple case of skipping school.