Backgammon
Backgammon is one of the oldest known board games. Its history can be traced back nearly 5,000 years to archeological discoveries in the Middle East, originally in Iran. It is a two player game where each player has fifteen pieces ("checkers") which move between twenty-four triangles ("points") according to the roll of two dice. The objective of the game is to be first to "bear off", i.e. move all fifteen checkers off the board. Backgammon is a member of the tables family, one of the oldest classes of board games.
Board wargame
The actual subject matter of wargames is broad, and many approaches have been taken over the years towards the goals of simulating wars on a grand or personal scale. Some of the more popular movements constitute established subgenres of their own that most wargamers will recognize.
The oldest of the subgenres, and the one that still retains "iconic" status for board wargaming as a whole, it got its start with the first board wargame, "Tactics" (which, ironically, used a square grid; hexes were a slightly later innovation), and is still used in many wargames today.