Checkers
Each player starts with twelve pieces on the dark squares. Pieces move diagonally one square forward; you capture by jumping over an opponent's piece into the empty square beyond, and multi-jumps chain in a single turn. A piece that reaches the far back row is crowned a king and may move both directions. You win by capturing all of your opponent's pieces or leaving them with no legal move. Forcing trades when ahead and keeping your back row intact are the classic winning ideas.