I found two blog postings of interest on (1) why there are a lot more Asian-female+White-males romantic relationships than Asian-males+White-females; and (2) what does that have to do with media stereotypes.
from the post ‘Asian men in media’: . . . the instances in the media in which an Asian man is shown dating, marrying, or even screwing a white woman are virtually nil. I’m not going to say it never happens, but it’s certainly less high-profile than the examples I’ve cited.
from the post ‘White Girls’: . . . most white girls do not even see asian guys as “dateable.” They would rather ask them for help with math homework, gaming tips, or fashion advice. They wouldn’t ever want an intimate relationship, leaving one lingering question: What causes this white obsession?
Some of the arguments presented there are valid and good, as long as they refer primarily to the male-dominated Western media and their effects globally. The whole story would be radically different, and more complex, if only more people in the world spoke Asian languages, and watched Asian films whose production and circulation are currently dominated by the Asian males.