OK, I've got one:
How about Private Trip, the former slave who rises above his bitternes to reach for valor in Glory? 1989.
The thing about movies produced before 1965 is that the American prototype is always white. There have been some improvements: we can see excellent characters of many backgrounds now.
I do wish I could think of some more of them, though. Realistic movies, the American prototype, ourselves as we wish we were.