Falcon Punch: Once during each game, you may punch your opponent in the nose as hard as you want. If he bleeds on a piece, it is removed from the board. If he gets knocked out, you win the game and his wallet.
Cannibalism: You may remove one of your own pawns that within one square of your knight. The knight then upgrades from a {1,2} leaper to a {3,4} leaper for this turn.
Conversion chamber: Before the game begins, each player writes down a column letter (A through H), which they do not reveal until necessary. If an opponent's pawn promotes on the column you've chosen, the promoted piece becomes your color, not the opponent's.
FALCON PUUUUUNNNNCH
If a potato falls onto the chessboard from out of nowhere, then the first player to pick it up and throw it at a monkey and hit it gets to remove any three opponent's pieces (excluding their king) that they want.
Please note, this is for humorous purposes only. I do not condone hurting animals.