Mancala
Mancala is one of the oldest known games to still be widely played today. "Mancala" is a generic name for a family of two-player turn-based strategy board games played with small stones, beans, or seeds and rows of holes or pits in the earth, a board or other playing surface. The objective is usually to capture all or some set of the opponent's pieces. Versions of the game date back to the 7th century, and evidence suggests the game existed in ancient Egypt.
Play-by-mail game
Correspondence chess has been played by mail for centuries. The boardgame "Diplomacy" has been played by mail since the 1960s, starting with a printed newsletter (a fanzine) written by John Boardman. More complex games, moderated entirely or partially by computer programs, were pioneered by Rick Loomis of Flying Buffalo in 1970. The first such game offered via major email services was "WebWar II" (based on Starweb and licensed from Flying Buffalo) from Neolithic Enterprises who accepted email turns from all of the major email services including CompuServe in 1983.