There is a small group of card games that would fit into turn-based site. These are open card games with perfect information ... I played dominoes at Goldtoken, and it work fine but only with the ability to make notes ... you have to make notes when and why your opponent passes ... it makes this game difficult to follow ... we have the ability to make personal notes at brainking ...
Here is the link to excellent card game with perfect information. It works somewhat like a board game
http://www.davidparlett.co.uk/oricards/stucco.html