I've found women to be more discerning of race than men. I did 3 deployments in the Caribbean and South America. When it comes to women, I'm not picky, I like 'em in all colors. I'm married to a Filipino now, though. I've heard women say that they'd flat out NOT date someone due to their race.
Some interracial marriages(if it isn't marriage or you don't have children with them, it doesn't count) are more socially accepting than others...such as white guy/asian chick than black guy/white chick. Some are looked at very oddly, such as white guy/black girl or asian guy/white girl.