I'm a big fan of Tykwer's. The main argument against his films is usually about the lack of "substance" in his work, and I agree that he tends to substitute style for substance, but man what amazing style it is! I loved Run Lola Run, and when his first film, Winter Sleepers, came through town, I couldn't wait to see it. Well, the film blew me away. The music, the visuals, the way it was assembled was masterful. This sold me on his talent, and surpassed Lola on my list.
When Princess came through, I couldn't wait to see it. I think it's my favorite of his so far, but all three films have so much energy and passion, it's hard to choose. The guy's gifted, no doubt. His music is perfect, his visual sensibilities are outstanding, and regardless of how "pointless" some people find his films, they never say they were bored. He's great at keeping things moving, and pouring energy into his work.
Those who have only seen Lola, or Princess, I highly recommend checking out his other work. Winter Sleepers has the least amount of "action," but is still full of the Tykwer "feel," and has an incredible ending that secured his position as one of my favorite new directors. Nice to see this film getting some recognition, even if it's not all praise.