softball vs softball game

softball and softball game both are nouns.

Word	Noun	Adjective	Verb	Adverb
softball	Yes	No	No	No
softball game	Yes	No	No	No

As nouns, softball and softball game are synonyms defined as:

softball and softball game: a game closely resembling baseball that is played on a smaller diamond and with a ball that is larger

softball (noun)	softball game (noun)
a game closely resembling baseball that is played on a smaller diamond and with a ball that is larger	a game closely resembling baseball that is played on a smaller diamond and with a ball that is larger
ball used in playing softball