Social games yes. For example, charades requires conversion of meaning to human movements. It's not to say it can't be done at the moment, but it's not something you would easily come across or that would provide the same experience as if you were playing with other people who are physically present. If you talk about actual physical robot doing the moves in front of you, then I'd say it's either cutting edge or not possible right now.

And it's certainly not accessible either way. With chess, and other games, you can simply download an app on your phone which you'll never be able to win against.