Its called "Get Low", and it stars Robert Duvall, Sissy Spacek, and Bill Murray, among others. The movie takes place in the 1930's and centers around Duvall's character - who is a grumpy hermit who has lived alone in a cabin in the woods for 40 years - his only companion being a mule. He is definitely not a beloved character in the community, and the story focuses on his mysterious past.
I'll not give any more of the movie elements away, but suffice to say there are no car chases, no gun battles, and no robots from outer space. That aside, its a wonderfully quiet sort of movie that sort of sucks you in. I really loved the cinematography, and the 1930's clothing and automobiles were great. I'm a big Robert Duvall fan, and almost as big a fan of Bill Murray - who is as equally good in this movie as Duvall. It's definitely worth your time.