Daily Kos Elections has an interesting post listing those House members who represent a district whose population is either majority- or plurality of a different race (e.g., a White member representing a plurality Latino district).
I was a bit surprised at the partisan diversity here. There are, for example, 30 majority- or plurality-white districts represented by a non-White member. Of those, eight are Republican (five Latinos, two Native Americans, and one African-American). There are 21 majority- or plurality-Latino districts represented by non-Latinos, of which five are Republican-represented (four Whites, one African-American).
Anyway, it's an interesting list to poke around in. Have a look.