For casual high score games, i mean games like Traffic Rush, Falldown, Anaconda, etc. turn based multiplayer games kinda like words with friends, that you can check and play in like 1 minute.
not sure about turn based multiplayer, since I don't think I have any of them. For casual high score games, I don't really know if it counts as casual, but Solipskier is a really nice game, with massive score you can get.
The new and free Hero Academy is a turn-based tactical game with push notification when its your turn, very fun. Dominion is Risk (well, a slight variant), turn based, with push notification when its your turn. Havent played in a long time, assume the app is still alive and well. When I did play, there were plenty of players. Has win/loss tracking and a rating system, albeit a somewhat odd one. Also, there seem to be some cheaters. Both of these are excellent.
Yamslam: http://hagerapps.com/yamslam Sumoku: http://hagerapps.com/sumoku Word Rally: http://boyhowdytechnology.com/wordrally/ Five-o: http://itunes.apple.com/app/five-o/id399572385?mt=8 Bird Words: http://itunes.apple.com/us/app/alone/id467835595?mt=8 Crazy 8 Twister: http://itunes.apple.com/us/app/alone/id458861630?mt=8 Disclaimer: The first two I developed, so feedback is welcome.
Both Ascension and Carcassonne are quick, turn-based asynchronous multiplayer games, and both are highly recommended!
