I had several in mind that fall in the Epsilon Level of mutants. The 'unfortunate' ones. Most tended to be Morlocks, like Tommy and Tar Baby who were wiped out in the mutant massacre, but there were a few that were part of the X-Men. Like Beak (Barnell Bohusk, in his original form, not post-MDay), Bliss (though she was more of a spy most of the time), Rain Boy (Carl Aalston), or Wither (Kevin Ford). Possibly ones that are sort of neutral characters like Scaleface, Marrow, Sack (though that might be a little too morbid).
Or I could be someone like Boom Boom (Tabby Smith), but then people might want to backhand my character most of the time to get her to shut up.
EDIT: Oh, another neutral type one was Maggot.