Answer: battleship

AnswerCrossword Clue
BATTLESHIPTwo-player game
BATTLESHIPPart of the game, and the game itself
BATTLESHIPGuessing game
BATTLESHIPTarget board game
BATTLESHIPTypically gray vessel
BATTLESHIPMissouri or New Jersey.
BATTLESHIPThe Oregon, for example.
BATTLESHIPGame
BATTLESHIPShade of gray
BATTLESHIPIt may have the name of a state
BATTLESHIPOff-shore fortress
BATTLESHIPIt's four units long in a popular board game (with the game's other pieces hinted at by the circled letters)
battleshipA heavy warship of a type built chiefly in the late 19th and early 20th centuries, with extensive armor and large-caliber guns
battleshipa heavily armoured warship of the largest type having many large-calibre guns