Chess

Vislor Turlough and Tegan Jovanka play chess in the TARDIS. (DW: Enlightenment)

K9 playing chess against the Fourth Doctor. (DW: The Androids of Tara)

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The Seventh Doctor and Ace playing chess in 1638. (DW: Silver Nemesis)

Two Solonians use pipes instead of normal pieces in a game aboard Skybase One. (DW: The Mutants)

Leela tries to warn the Doctor about a TARDIS malfunction, but he is set on getting out of check. (DW: The Sun Makers)

Chess was a game in which two players (one black, one white) move their pieces to try and capture the opponent's king.

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)

Chess was particularly favoured by the seventh incarnation of the Doctor when battling certain enemies (in particular Fenric). He was accused by Ace and Bernice Summerfield of playing with their lives "as though you would a game of chess". (DW: The Curse of Fenric)

Morgaine stated that she could always beat the Doctor at chess. (DW: Battlefield)

K9 was programmed with all the championship games since 1866. (DW: The Androids of Tara)

Dortmun played a one-player variant of the game. (DW: The Dalek Invasion of Earth)

Two Solonians used pipes with different ends as pieces in a chess game. (DW: The Mutants)

K9 Mark I played chess with the Fourth Doctor in the TARDIS. Leela had to move K9's pieces for him. The Doctor declared that even one-dimensional chess showed the failings of the mechanical brain, shortly before K9 put him in check. (DW: The Sun Makers) A later rematch saw the Doctor moving K9's pieces. (DW: The Androids of Tara)

The Fourth Doctor played chess with Magnus Greel and defeated him. (DW: The Talons of Weng-Chiang)

Vislor Turlough and Tegan Jovanka played chess in the TARDIS. (DW: Enlightenment)

The Sixth 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 played chess against a robotic arm. After it beat him, he knocked the set over and claimed the robot cheated. (DWM: Profits of Doom)

The Squire and Elizabeth played chess in the 17th century. (DW: The Visitation)

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)

The Seventh Doctor played chess against Anthony Rupert Hemmings while the latter posed as his friend George. (NA: Timewyrm: Revelation)

Haresh Chandra taught Luke Smith how to play chess, and was subsequently beaten by him six times in a row. (SJA: The Eternity Trap)

Darius Pike (with the help of K9 Mark 2) played chess against Starkey (aided by Jorjie Turner), Starkey beat him. The particular chessboard they were playing on had animals as the chess pieces. (K9TV: The Fall of the House of Gryffen)

Rory Williams and Oliver Marks played chess in the garden of the Manse. It was mentioned Oliver put Rory in check 11 times. (NSA: The Glamour Chase)

In the 52nd Century, a variant of chess called "Live Chess" was heavily favored. Each piece was wired to an electrical current; The more times the piece was moved, the stronger the current became. (DW: The Wedding of River Song