Brain refused to engage for Amy Tan and Michelle Kwan, but got a freebie when I incorrectly typed Chong for Chang and got Cho instead. (I love freebies.)
I believe that, technically, you should also accept Jackie Chan for the Mr. Miyagi question. He portrayed the same character in the Jaden Smith remake a few years ago, and there's no caveat at the top about using the most famous in the event of multiple answers fitting.
Including Indian-Americans as "Asian-Americans" is kind of silly. While geographically accurate, it makes little sense from an ethnic perspective. It's like calling a Russian-American or a Saudi-American "Asian-American."
Replying to a comment 6.5 years later might be a bit useless... but why is that silly? "Asian-America" literally means Americans whose families have their ethnic origins in Asia. For some reason, a lot of people nowadays take Asian to mean "Chinese" or another similar ethnicities, but South Asians, while certainly different, are legally, geographically, and culturally still Asian. As a South Asian American myself (Bangladeshi to be precise), this is something that bothers me a lot.
In the UK, Asian means, erm, from Asia. There's not this weird distinction that you're suggesting.
I had no idea Mstislav Rostropovich was Asian. Yes, he was born in Azerbaijan, but I doubt it makes him Asian.