Are there any games like whoa-horsie?

Answer 1

Yes, Webearthonline:

http://www.webearthonline.com/

Wolfquest:

http://www.wolfquest.org/

Fly like a bird 3:

http://www.muchgames.com/play-games/fly-like-a-bird-3

Kuma games Ipredator:

http://animal.discovery.com/tv/i-predator/

Hope this helped! oh! and The Sims 3 pets ;) (You have to buy the game)