Multiplayer games on same ipad device

I'd love for some recommendations too. Could use some more but I have found a handful I like.

Worms 3
Fruit Ninja
Osmos HD
Ready Steady Bang
Carcassonne
Ticket to Ride
Flight Control HD

I've been playing Glow Hockey against my spouse and we're loving it.

I am sure your wife can beat you playing Real Racing 3

My favorite arcade/action games:

Retro Racing (Split screen, one player on each short side)
Forget.Me.Not (One player on each short side)
Minotaur Rescue (One player on each short side)
Don't Fall into the Hole (Up to four players, turn based action game)

Also, I'll mention my two games. Both support two players:

Vector Star Brawl (One player on each short side)
Endless Space Shooter (One player on each long side)

And there are tons of boardgames which support multiple players on the same iPad, my favorite ones are:

Elder Sign, Tigris and Euphrates, Loot and Scoot and Neurosima Hex

Poultrix! Free and got head2head mode!

https://www.youtube.com/watch?v=SbyZucQNADw

Any of these games compatible with ios 7 game controllers? I'd love to find a game I can play with two controllers so we can bring the experience to the Apple TV via airplay