Polytopia
Check out https://www.chessvariants.com/ for hundreds of variants, some regional. You might be interested in checking out https://lishogi.org/ which is developed by the same people who created lichess and is for Shogi, a particularly interesting regional variant of chess that comes from Japan. It is unique among regional chess variants in that when you capture a piece it becomes part of your army and you can spend a turn to place it on the board.
Checkers
Threedimensional chess, played in a cube.
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