It's Your Turn has classic games that you can challenge someone to, but you don't have to be online at the same time to play a game. You play each game a turn at a time. They have checkers, chess, go, pente, connect four, battleboats, and more, plus lots of variations on the traditional games. You can also send a message with each move you make, so it's a great way to keep in touch with someone far away.