I'm a huge Coen brothers fan.
The Big Lebowski? Great movie. Funny, absurd, and a terrific send-up of those old detective noir movies with byzantine plots that went nowhere. Fargo? One of the best films ever made, an escalating swirl of chaos and bad decisions, with a warm, strong protagonist standing in the middle and holding everything together. No Country For Old Men is a chilling look at people confronting an utterly unsentimental and unfeeling universe that scoffs at logic or reason.
Miller's Crossing, True Grit, Barton Fink, Raising Arizona, O Brother Where Art Thou?, Blood Simple, The Man Who Wasn't There, A Serious Man, Inside Llewyn Davis.