I'm not sure if this counts since it's more like nationality. My dad is from Russia and my mom is from Israel, so in terms of race I'm fully white/Jewish but it's like two completely different kinds of Jew and extremely different cultures. I was born and raised in the USA so I'm not very steeped in either culture.
Russians are super excited to hear that I'm "Russian" until they learn that I can't speak Russian and don't know that much about Russian culture. Then they just treat me like a normal American. Israelis can immediately tell that I'm not one of them and give me the typical Israeli treatment, which to those who haven't experienced it, is a special and weird mix of condescension and humoring. It's hard to explain. It's like if I tell them I'm "Israeli", they'll play along, but will speak Hebrew in front of me or make references to Israeli culture that I don't get, and laugh when I don't understand, but they won't be outrightly rude or mean.
But yeah, bottom line, not fully accepted by either culture, and I don't feel fully at home among "Americans" either.