softball game vs baseball game

softball game and baseball game both are nouns.

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

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

softball game: a game closely resembling baseball that is played on a smaller diamond and with a ball that is larger
baseball game: a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs

Other hypernyms of softball game include ball, baseball.

softball game (noun)	baseball game (noun)
a game closely resembling baseball that is played on a smaller diamond and with a ball that is larger	a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs