The Killer (1989) ****
Director - John Woo
Also starring - Danny Lee
Available: Dubbed English (Rentable) or Subtitled

God of Gamblers (1989) ***
Director - Wong Ching [Jing]
Also starring - Andy Lau
Available: Subtitled

Hard-Boiled (1992) ***1/2
Director - John Woo
Also starring - Anthony Wong (Chou San) and Tony Leung
Available: Dubbed English (Rentable) or Subtitled

Full Contact (1992) ****
Director - Ringo Lam
Also starring - Anthony Wong (Chou San) and Simon Yam
Available: Subtitled

And for those of you who would like to see Chow in a mellow dramatic performance I recommend:
All About Ah-Long (1989) **1/2
Director: Johnny To [Tu]
Co-starring - Silvia Chang
Available: Subtitled
This movie was co-written by Chow and Silvia Chang. Chow won the Asian Best Actor award for this film. It is more like a Hong Kong version of Kramer vs. Kramer. This is my personal favorite and the ending is noteworthy for its unexpected downbeat twist.

DUBBED VERSION JUST RELEASED IN AMERICA
A Better Tomorrow (1986) ****
Director - John Woo
Also starring - Leslie Cheung and Ti Lung
This is the first series of a trilogy. Available: Dubbed English (Rentable) or Subtitled

Movie references from: Asian Cult Cinema (1997) by Thomas Weisser