Centrarchids are an invasive species out this way (instead of a native). They do well with cichlids though. I don't think we have any natives that would do well long term in warmer water.
True, I guess I should specify sunfish.. I've always wanted to put a largemouth bass in with mine but I'm afraid he would eat everybody. Pound for pound just as aggressive as a dovii in my opinion and a bigger mouth!