Depends what you mean by Asian. In Britain, Asian tends to mean people of Indian or Pakistani origin as they make up significantly more of the population than people from East Asia, and I could name you a few Asian British actors - including Sir Ben Kingsley who fwiw is definitely not white. I don't think that's the point you were making, though, but correct me if I am wrong. As far as East Asians go, you didn't name Ken Leung and Kenneth Choi! I like both of them though they never seem to get lead roles...! Incidentally Kenneth Choi plays an Asian character in a Marvel movie.

Anyway, I agree with most people that casting any minority character as another race is ridiculous.