checkers vs board game

checkers and board game both are nouns.

Word	Noun	Adjective	Verb	Adverb
checkers	Yes	No	No	No
board game	Yes	No	No	No

As nouns, board game is a hypernym of checkers; that is, board game is a word with a broader meaning than checkers:

checkers: a checkerboard game for two players who each have 12 pieces; the object is to jump over and so capture the opponent's pieces
board game: a game played on a specially designed board

checkers (noun)	board game (noun)
a checkerboard game for two players who each have 12 pieces; the object is to jump over and so capture the opponent's pieces	a game played on a specially designed board