I was in a game where the GM said we should write up a superhero concept and he would stat it out so we would not know the numbers. It turned out cool, because he was a number crunchin' power-gamer who loved roleplaying. We were high school students in a 'special class'.
I wrote, "I was a teenage zombie"
The background was he woke up in a hospital after being pulled from a wrecked vehicle that was destroyed. He has some scars but recovered from his injuries well. During the course of things he found he could scream and scare people (that was my favorite ability - Chapions had cool Intimidation rules), he had long nails that could scratch brick and he could get stronger at times. He like really rare steak. the first trip to the mall with other students he got shot in the head by a robber. He died. He got better. Later on he found out he could bite a corpse and it would animate. He was reasonably resistant to being killed but died just about every other adventure.
and the thing that freaked the other students? He wasn't a mutant.