My dog just knows-
Her name (comes when called)
NO (stops what she's doing)
Down
Sit
Beg (hops up on hind legs to touch your hand with her nose.)
Stay (iffy on this one..hates being left)
Hop up (she will climb into a car, onto furniture, whatever.)
She is a very calm, smart dog who learns very quickly. I have never found anything to be necessary beyond these few commands and she often listens to things I tell her even when I have never trained her to do it.
My horse knows the meaning of walk, trot, canter, gallop, ho, and stop. He can rear on command, knows "come here" and his name, and if I say, AGAIN, AGAIN, he will speed up toward a jump a second time. He's very smart and pretty well behaved under saddle. If I scold him and tell him, "You're not two, don't act like an idiot!" he often stops acting like an idiot.
That aside most of my animals don't know many tricks, except to come when they are called for some of them.