Welcome to Xavier's School for Gifted Youngsters. You have been accepted due to your special ability--and that's not a reference to your academic record. It's hard enough being a teenager; why not tack on a super power and political wars as to whether or not you should be registered and potentially put in the spotlight when you just want to worry about whether or not you're going to be asked to prom?
This school is better known as a safe haven, protecting you from not only the weird looks from non-mutants, but from yourself through proper training and learning to control your ability. But what's going to happen when you've graduated? Are you going to stay? Are you going to leave, try to lead a normal life? Or are you going to become part of an extremist group that seems to be saying all the right things on the news to you?
I know this isn't very structured. I'm not really one that goes into crazy detail and worldbuilding (hence the piggyback on X-men). Your OC is 17-18 years old--"graduating" from Xavier's school. I'm thinking we can come up with some mad drama and good times!