Tsuro of the Seas
Players each have a ship that they want to sail — that is, keep on the game board — as long as possible. Whoever stays on the board the longest wins the game.
Each turn players add "wake" tiles to the 7×7 game board; each tile has two "wake connections" on each edge, and as the tiles are placed on the board, they create a connected network of paths. If a wake is placed in front of a ship, that ship then sails to the end of the wake. If the ship goes off the board, that player is out of the game.