Regarding martial arts movies produced by Hollywood and Hollywood alone (means that no movie companies, staff members, or actors from the Hong Kong movie industry are involved), there are some interesting facts.
They adopt American actors that are half Asian and half White, but look more Asian than White, to play a character that is set to be Asian.
For instance, Russell Wong (Father Chinese), Mark Dacascos (Father Filipino), and Don Wilson (Mother Japanese).
Instead of hiring full Asian actors either from Asia or the US itself.
Brandon Lee (Bruce Lee's son, also half Asian half White) look full White, so he's not in this category, though.
However, in the movie in which a full Asian is the main character, like in Jet Li's movies, they play the character of the villain. Russell Wong in Romeo Must Die (2000), and Mark Dacascos in Cradle 2 the Grave (2003), both of which are killed by Jet Li at the end of the movie. LOL.
It seems that the old saying is somehow true to a certain extent, "Mixed-raced are always seen as foreign, and can't be accepted by both sides."
It seems that there's an invisible ceiling in the movie industries.either in the US or HK that confines these half Asian half White actors. Among martial arts actors, they are not as successful as full White actors (Steven Seagal , Jean-Claude Van Damme, etc) or full Asian actors (Jackie Chan, Jet Li, etc).
Russell Wong (Father Chinese)
Mark Dacascos (Father Filipino)
Don Wilson (Mother Japanese).