On Horseland you can breed horses and dogs.
For Nintendo ds the is a game called nintendogs
Wolf Play
foopets.com
yes virtual bark is
well there are lots of different consoles and systems with horse games with no breeding, to answer fully we would need to know what system your looking at.
wolf quest its really cool i hope this helped also dog and cat breeding games are foopets
Furry-paws.com is a really fun dog breeding and showing game. It is really fun. There is also a game that is called Virtual Pups my friend told me about I don't play it but my friend really enjoys it you should try it
go to foopets.com
www.howrse.com ?
Digimon World Championship
foopets.com
Try Wajas.com.
Ourworld, Sims2 and 3, IMVU, virtual families, virtual villagers :D