there is a parrot cichlid that isn't a hybrid
I have a one eyed blood parrot and he couldn't even eat feeder guppies. They are angry, but can't survive in a cichlid community with capable cichlids. They can't close their mouth so they can only do damage if they ram a fish, but since their spine is deformed that is pretty much out of the question.
Blood parrots could probably be put with discus or angelfish IMO. In fact my g/f keeps hers with a big altum angel without any probnlems, and those the most touchy angel I can think of.