Some of my favorite action movies:
I love Jackie Chan, especially his Hong Kong chop socky fests, like Police Story, Police Story 2 and Supercop: Police Story 3. The two Project A flicks are great, too. Oh, and Armour of God, Jackie's version of an Indiana Jones movie.
John Woo was also better in Hong Kong, before he Went Hollywood. My favorite Woo flick is called Bullet in the Head. Subtle, huh?
Both Woo and Chan did their best stuff in their homeland. These movies are entertainingly non-American, it's almost disappointing to see them (and Chow Yun-Fat) in American-made films.
And I must confess...I think I was the only person on Earth that liked Arnold Schwarzenegger's Last Action Hero.