I'll go first:
Breaking the Waves by Lars Von Trier is probably the one that hit the hardest. Basically, it's about this very childlike, innocent woman who lives in a small Calvinist community in Scotland, who has fallen desperately in love with, and marries, a man from outside the community. They have a sort of beautiful relationship that changes dramatically when he gets in an accident and is paralyzed from the neck down. He has some form of minor brain damage, and instructs his wife to have sex with strangers and tell him about it. His wife comes to believe that doing this is an act of love and the will of God, and that it might even have the power to heal him. I mean, it sounds like the premise of some steamy late night cable movie, but Trier's script and direction, and Emily Watson's transcendent performance elevate it to the level of art. Really gut-wrenching, and thought-provoking.
Synecdoche, New York, Charlie Kaufman's directorial debut (he wrote Adaptation and Eternal Sunshine of the Spotless Mind) was also great. It could have probably been 30 minutes shorter, and is a little too ambitious at times, I think, but it is still a great study of the emotional brokenness and physical fragility of humanity. The story itself, such as it is, follows a theatre director as his wife leaves him, he becomes mysteriously sick, and begins his magnum opus - a theatre piece that gradually absorbs an entire city, with a cast of hundreds of thousands. It's one of the few movies I think fits into the magical realism school, which was originally a literary movement (one famous work in this genre is Gabriel Garcia Marquez's One Hunded Years of Solitude). It's extremely dreamlike, and as it progresses, blurs the line between what's real, what's in the play, and what's just in the characters deteriorating mind. It manages to be very philosophical while at the same time being very viscerally emotional.
Speed Racer is probably the most underrated movie to come out in the last couple of years. I think most people misread it as a mindless kids movie, which is not completely wrong. But it explores the same themes; of freedom, systems of oppression, reality, transcendence, and identity; as the Wachowski Brothers did in the Matrix trilogy and in V for Vendetta. But they deceptively embedded the treatment of these ideas in a hyperkinetic, bubblegum children's movie that is faithful to the spirit of the original animated series. It's the closest thing to a live action anime that I've ever seen, and certainly their best movie since the first Matrix movie.
take a look at these hands