XMen

The story of this game begins with a TV report about mutants and their wrong doings, highlighting the distrust humans have for their genetically divergent relations.
There's a posse of mutants angry at humans, called the Brotherhood of Mutants (BoM), and they proceed to kidnap a young girl in the intro, Allison Crestmere.

As you play Wolverine, the first few levels task you with rescuing the young lass, and to find out why the BoM wanted her...