The British Museum has a site that allows you play games online that ancient cultures enjoyed.
I’ve placed links to the Ancient Egyptian Game of Senet and to the Royal Game Ur from Mesopotamia on my World History page under The First Civilized People section.
I always have problems understanding how to play any kind of game, but my English Language Learner students certainly do not. I think they’ll enjoy them.
They will also be able to compare/contrast these games with ones they play today.