Quoridor
This abstract strategy is surprisingly deep for its simple rules. The object of the game is to advance your pawn to the opposite edge of the board. On your turn you may either move your pawn or place a wall. You may hinder your opponent with wall placement, but not completely block him off. Meanwhile, he is trying to do the same to you. First pawn to reach the opposite side wins.
WARNING
This game is not yet finished. The AI is up and running, but takes about 3-5min to make a move. There is also no restart button for anyone that actually finishes a game forcing the user to have to reload the page to play a new game.
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