I love Searching for Bobby Fischer. I'm not sure that it would be everybody's "thing", but I certainly enjoyed it.
That's a great movie. Sir Ben Kingsley, Laurence Fishburne, Joan Allen(without a doubt one of the finest actresses of the last 20 years IMO)
The Contender with Joan Allen was great.
If you want slightly obscure try Memento. Guy Pearce, Carrie-Anne Moss(from The Matrix). One of the more original films I've ever seen in the way the story is told. It alternates telling you the story simultaneously from the beginning and the end until they converge in the middle.
Great original horror film, Cube.