Game Ideas Anyone?

My daughter just turned three and often wants to "play a game,Mommy." The trouble is, we only have one game (a match game I made for her) that she can really play. Other than that, she mostly just wants to get out Mommy and Daddy's games and scatter the pieces and wrinkle the cards. So...any recommendations on games that will work for little ones who can't read yet and can't count well? Candyland makes me crazy, although I'm willing to try and I hear that Cooties is truly annoying. Are there any ones out there that are fun for mom and tot?