Well, the OG for that would
Breeding Season, sadly never finished but there is a good chunk of content to go through.
IMO no game managed to get on that level yet, Breeders Of The Nephelym comes pretty close though.
Monster Black Market is also quite good, but no crossbreeding (as in breeding hybrid creatures).
Breeding Farm has a lot of potential and is strongly inspired by Breeding Season. Way better successor of Breeding Season than Cloud Meadow.
And regarding Cloud Meadow, I really can't recommend that one especially if you're looking for a breeding game. They focus more on the dungeon crawling and proper breeding animations are only for MC x Monster, Monster x Monster animations are just small sprite sex animations. Also can't crossbreed IIRC.
Haven't played
Mating Season but it looks promising, very early access though.