Solitaire Chess is an addictive puzzle game vaguely based on chess, but you don't have to be a grandmaster to play it. The rules are simple - move your pieces the same way as in chess, performing an obligatory capture every turn. The objective is to capture all pieces on the board leaving just a sole one standing.
Knowing chess rules is not required - the game has a built-in tutorial and a cheat-sheet for moves.