This theme is for any video game that re-creates a traditional real-life board game. Do not use this just because it is a video game adaptation of a game found on BGG.
A board game is a game in which counters or pieces are placed, removed, or moved on a premarked surface or "board" according to a set of rules. Games may be based on pure strategy, chance, or a mixture of the two and usually have a goal which a player aims to achieve. Early board games represented a battle between two armies and most current board games are still based on beating opposing players in terms of counters, winning position, or accrual of points.
There are many different types and styles of board games. Their representation of a real life situation can range from having no inherent theme such as Checkers to having a specific theme and narrative such as Cluedo. Rules range from the very simple such as in Tic-tac-toe to ones which describe a game universe in great detail such as in Dungeons & Dragons although most of these are Role-playing games and the board is secondary to the game, serving to visualize the scenario.
Source: Wikipedia, "http://en.wikipedia.org/wiki/Board_game," available under the CC-BY-SA License.