I really like films that are based on real people's experiences. Two of my favorites are "Shine" with Geoffrey Rush, based on the life of mentally-ill pianist David Helfgott, and "Champions" which is about a jockey named Bob Champion who overcame cancer and won the Grand National on a horse that had been injured so badly that the owners almost put it down. (The steeplechase sequence at the end of the film is just bitchin.) Both movies have weepy happy endings.
I also thought "The Razor's Edge" with Bill Murray was a wonderful film but audiences apparently weren't ready to see the funny man in a straight role.