Chess
Chess is a game where a two players (one black/one white) move their pieces to try and capture their opponent's king.
K-9 played chess against the Doctor. (DW: The Sun Makers) The Doctor also played a game of chess against Frobisher but the game had more than one board and some stood up vertically to form a cube. (DWM: War-Game) Frobisher also played chess against a Robotic arm. (DWM: Profits of Doom)
Chess was particularly favoured by the Seventh Doctor when battling certain enemies (in particular Fenric). He was also accused by Ace and Bernice Summerfield as playing with their lives "as though you would a game of chess". (DW: The Curse of Fenric)
While battling Lady Peinforte, de Flores, and Cybermen, the Doctor and Ace traveled to 1638, where the Doctor played chess against an unknown opponent (thought to be Fenric). (DW: Silver Nemesis) Morgaine stated that she could always beat the Doctor at chess. (DW: Battlefield)
A trap in the Tomb of Rassilon resembled a chess board. Nothing happened until a visitor reached the fifth row, and then the board became a giant death trap. (DW: The Five Doctors)