Whenever someone asks if you want to play a game of chess, you may only be thinking about one game. In most cases, there is only one game. However, there are actually different variations of the chess game. One is called the three-player chess which looks like each person has their own side of the board. Another variation is called Chess 960 where the position that stars is unknown and there are 960 ways to start.
Another variation is called Almost Chess and it uses chancellors. Losing chess is actually the opposite of regular chess in that the opponent tries to lose all of their pieces to their opponent. Kriegspiel involves not being able to see the piece of the other player.