If "Asian-style" refers to traditional kung-fu movies, then I have one thing to say - Legend of the Drunkeon Boxer. It's quite possibly one of the best of it's type I've seen, and despite the incredibly un-funny humour and horrible dubbing, it's got some of the most amazing stunts I've ever seen. I never knew that a human being was capable of such amazingly complex and...well, drunk movements. You must see this if you're any fan of kung-fu (and I'm not much of a fan, yet I still loved it).
Of course, Crouching Tiger, Hidden Dragon is one of the most amazing movies in a good long while (of any genre), but it's not your traditional kung-fu, so I didn't mention it there.