Here is a list of various board layouts for board games.
Chess/Draughts/Checkers: 8 by 8 black (or red) and white.
Backgammon: 12 black and white long triangles.
Risk: World Map
Scrabble: Various red and blue squares.
Solitare: A cross-shaped, marked with marbles or pins.
Halma: 16 by 16 black and white with corners highlighted (either opposing or all corners)
Nine Men's Morris or Merrelles-squares joined by diagonals.
Reversi/Othello: 8 by 8 game-white squares.
Trivial Pursuit: A wheel shape