I'd recommend the movie Kids. The guy with the power isn't really shunned, but I still think it's pretty good and might be sort of what you are looking for. If you want a movie about a guy that doesn't have powers that still has to prove himself, try The Beast and the Beauty.
Some other ideas that you could possibly look into:
-Kazoku Game (drama)- About a tutor who isn't who he seems, not fantasy though
-Holy Daddy- Dad returns back to life in another form to help his son
-JIN- Brain surgeon goes back in time and tries to figure out why he was sent there
-Postman to Heaven- About a boy who delivers messages to heaven and a girl who discovers him
-Samurai High School- Boy who is possessed by an ancient samurai
-Vampire Prosecutor- Name says it all
-Yamada kun to 7 nin no Majo- Boy who discovers 7 witches in the school and can copy their powers
-Yamato Nadeshiko Shichi Henge- 4 guys get the task to transform a horror-loving girl into a lady
-Zettai Kareshi- Girl gets a robot boyfriend in the mail
The drama I'm watching at the moment is Densha Otoko, it's about a really nerdy guy who falls in love with a beautiful girl and gets help from his internet friends to court her. It's not fantasy, but it does have the guy trying to change himself to prove that he's a good guy. So far it's pretty good.