good story vs funny story

good story and funny story both are nouns.

Word	Noun	Adjective	Verb	Adverb
good story	Yes	No	No	No
funny story	Yes	No	No	No

As nouns, good story and funny story are synonyms defined as:

good story and funny story: an account of an amusing incident (usually with a punch line)

Other synonyms of good story include funny, funny remark.

good story (noun)	funny story (noun)
an account of an amusing incident (usually with a punch line)	an account of an amusing incident (usually with a punch line)