Rather than Hollywood, I think having more representation in sports would do a whole lot more for Asian image as a whole. But it's also much harder because sports is far more driven by merit/skill than choice (e.g. casting). There's certainly some racism and prejudice as well in sports, but I also think that Asians tend to self-exclude from participating in sports (maybe parental pressure from first, second generation parents).
Asians are well represented in athletics in medals in Olympic events like gymnastics, weightlifting, swimming, etc. But it's crazy that you see so little Asian-American representation on the US Olympic teams. So I think it's not that Asian-Americans aren't capable, but for some reason, they are not participating in sports at a high level in the US with rare exceptions.
But to be honest, "Asian-ness" is not something that growing up, I thought about a lot. Maybe more to do with the fact that I was raised in communities with very small Asian populations with very few Asian friends until I entered college. For that reason, I think, I had a hard time seeing Asian females as objects of love interest because I had a strong association of female Asians with my mom and sister.
Maybe because I am fairly masculine (shaved head, body hair, facial hair, slightly above average height (for the US), athletic build). For that reason, I think I presented little romantic interest to Asian females in college because I was very non-traditional in my appearance.
I tend to think about race more now in the context of my daughter and what life will be like for her growing up mixed and how she will identify. I've even proposed that she change her last name to my wife's maiden name to better her chances of college entry -- only half jokingly.
My wife and I find it funny that many times, people don't expect someone like her to show up when they see her last name. She's as white as can be so sometimes people have great reactions at the dissonance; she's had people ask her "Do you know where Mrs. Chen is?" because the idea of a white "Mrs. Chen" is so alien.