game room vs playroom

game room and playroom both are nouns.

Word	Noun	Adjective	Verb	Adverb
game room	Yes	No	No	No
playroom	Yes	No	No	No

As nouns, game room and playroom are synonyms defined as:

game room and playroom: a recreation room for noisy activities (parties or children's play etc)

Other synonyms of game room include rumpus room.

game room (noun)	playroom (noun)
a recreation room for noisy activities (parties or children's play etc)	a recreation room for noisy activities (parties or children's play etc)