Fantastic Femmes--Zhang Ziyi

Equally-adept at comedy, drama, and action, Zhang Ziyi (or Ziyi Zhang, depending on the translation) isn't a martial arts expert, but, like Michelle Yeoh, uses extensive dance training to learn the needed choreography!
Trivia:
Didn't know any English when she did Rush Hour 2! She learned her dialogue phonetically and star Jackie Chan translated the director's instructions for her! (She has since learned English.)

Genre appearances include...
Sophie's Revenge (Sophie)
HorseMen (Kristen)
TMNT (Karai)
House of Flying Daggers (Mei)
Hero (Moon)
Musa aka Warrior (Princess Bu-yong)
Purple Butterfly ( Cynthia / Ding Hui)
Legend of Zu aka Zu Warriors [2001] (Joy)
Rush Hour 2 (Hu Li)
Crouching Tiger, Hidden Dragon (Jen Yu / Xia Long / Jiao Long)

Check out...
Her Official Site

Other actresses to play Karai include...
Karen Neill in Teenage Mutant Ninja Turtles [2003]