In 5d Chess (released last month by Thunkspace), pieces can travel back in time. A rook in the eighth move of a game, for example, can be placed on the board as it was in move five. This then creates an alternative timeline version of the game with the pieces as they were in move five, plus the additional rook. (The rook, however, disappears from the board in the original timeline.)
After this second universe is created, players must then keep track of moves in both timelines in the game, with the possibility of additional universes being created every move. Players get as many moves per turn as there are timelines. The game is won when one player has fewer valid moves than the number of timelines.