Traditional board games
There are hundreds of popular card/board games. Some of them are very old, and have been around for thousands of years. They are time proven and we might call them classic games with full certainty. Usually, they utilize an abstract design of game elements: pieces, boards, and rules. With time, their look has become more universal and indifferent to the vicissitudes of cultural influences (and this makes them the common heritage of mankind). Well-known examples are Chess, Go, Backgammon, Draughts, Dominoes, and Janggi.

A screenshot from adventure game, Machinarium, which uses a tricky variation of noughts and crosses as one of the puzzles
Some games look very much like classic games; they utilize the same minimalistic aesthetics but are a little bit younger, having been invented a few centuries ago. I'm talking about Renju, Reversi, Mahjong, and many other such wonderful games. It's worth noting that the new age does not detract from their value.
The other groups of...