Moonbase Commander and Crack Attack (Score 1)

Check these out. Moonbase Commander is a top-down, turn based game. My girlfriend found it easy to learn, and soon enough, easy to win. It's good co-op against the computer or against each other. Another two player game is Crack Attack. It's a Tetris style game with multiplayer. My girlfriend comfortably kicks my posterior these days. The cool thing is that they are both free.