And I mean 100% Asian actors/actresses -like Jackie Chan (CN) or Michelle Yeoh (CN)-, not half Asians/half American.
Bae Doo-Na who worked in the film Cloud Atlas and drama Sense 8.
Donnie Yen, the "I am one with the force" in star wars- rogue one
Bruce Lee (HK) --- (among the firsts) even had his own TV show
Jackie Chan (HK)
Jet Li (CH)
Ken Watanabe (J)

Familiar faces from blockbusters:
Chow Yun Fat (HK)
Zhang Ziyi   (CH) 
Donnie Yen (HK) 
Takeshi Kaneshiro (Tw/J)

others:
Bae Doona (K)
Fan Bingbing (Ch)
Maggie Q
 
Directors:
Ang Lee
John Woo 

There's a long list of  Asian actors who were cast in a few Hollywood movies, but very few sustained a career  or are recognizable like the ones above.
Lucy liu
gedd watanabe
Sammo hung
Steven yeun
Lee Byung Hun for sure
There are many Indian Actor/Actress who made it into Hollywood
Few of them are-
Priyanka Chopra
Aishwarya Rai
Deepika Padukone
Freida Pinto
Irfan Khan
Amitabh Bachchan