Darkman

Rent-it - Liam Neeson and Frances McDormand star in this dark yet amusing 1990 film directed by Sam Raimi about a scientist who takes on a new identity (I'll leave it at that as to not spoil the opening).

Dances with Wolves

Rent-it - A Civil War lieutenant is exiled to the wild west and befriends the natives and wolves he finds there - yes, it is basically Avatar and maybe even better.