I'm late to the party here, but since I didn't see it mention elsewhere, I'll throw up unbreakable with Bruce Willis. given his health conditions, it won't happen with him but it might be able to happen with somebody else in his place.
I feel like that movie established some solid characters and a somewhat unique case of the every man turned superhero. The whole idea of him just being able to touch someone and then get a glimpse into their hidden life was really cool. Plus there was the relationship with his son, bad guy suffering from that brittle bone disease to contrast with Bruce Willis's character being, well, unbreakable. it was a good setup I thought for a whole series of films.