Class of Nuke 'Em High
Carrie - all about the prom...
Prom Night
Halloween H20 - set at a private school
The Faculty
Child's Play 3 - military school
Hell High - high school thugs seeking revenge on a teacher
Slaughter High - high school reunion
Girls Nite Out - set on a campus
Final Exam - set on a campus
Graduation Day - all about surviving until graduation
Suspiria - ballet school

Not quite either genre, but a special shout out to "Heathers".