Battleship game review. Classic Game Room reviews BATTLESHIP for Xbox 360 from Double Helix and Activision, the video game based on the movie based on the board game based on sinking Battleships! You sank my Battleship (copyright TM)!!!! Battleship video game is available for Xbox 360 and PlayStation 3 PS3, Battleship is also available on Nintendo Wii, DS and 3DS but for those versions it is a turn based strategy game. This version of Battleship videogame is a combo first person shooter and tactical naval strategy game!