At BrettspielNetz.de you can play turn-based classic online board games and modern board games against other players. Your opponent doesn't have to be online. You can invite your friends or look in the waiting room to see whether someone wants to play.
Playing online board games at BrettspielNetz.de is free, but you have to register:
If you are fresh from yourturnmyturn.com, you probably don't have an account here yet. So please register first.