Breakthrough Five

Two players, one board, five squares a side. Reaching the far rank is not enough — you have to still be standing on it when your turn comes round again, so your opponent gets one move to throw you off.

Blue to move.

Winning

How it moves

Why two squares

With unlimited range the opening files and diagonals run clear from one back rank to the other, and Blue's rook simply slides to the far rank on move one. Capping the slide is what turns the board into a game: a search over these rules finds no forced win for either side within eight plies.