cribbage vs card game

cribbage and card game both are nouns.

Word	Noun	Adjective	Verb	Adverb
cribbage	Yes	No	No	No
card game	Yes	No	No	No

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

cribbage: a card game (usually for two players) in which each player is dealt six cards and discards one or two
card game: a game played with playing cards

Other hypernyms of cribbage include cards.

cribbage (noun)	card game (noun)
a card game (usually for two players) in which each player is dealt six cards and discards one or two	a game played with playing cards