passing play vs passing game

passing play and passing game both are nouns.

Word	Noun	Adjective	Verb	Adverb
passing play	Yes	No	No	No
passing game	Yes	No	No	No

As nouns, passing play and passing game are synonyms defined as:

passing play and passing game: (American football) a play that involves one player throwing the ball to a teammate

Other synonyms of passing play include pass, passing.

passing play (noun)	passing game (noun)
(American football) a play that involves one player throwing the ball to a teammate	(American football) a play that involves one player throwing the ball to a teammate