I think monkeys are still bred in some zoos. I know that because there is typically media outrage when monkeys are killed in zoos when they were overbred. It's a very questionable system, since they are basically prisoners, then kind of forced or encouraged to breed, and then whacked to death when there are "too many". It's weird because zoos also claim to help preserve some species.
Zoos do help to preserve species. Whether that is worth it, when their natural habitat is destroyed is a different question.
And if we agree there should be Zoos (I don't) then breeding the animals there is definitely nicer, than capturing a wild animal and force it to adopt to the prison livestyle.