honorary society vs academy

honorary society and academy both are nouns.

Word	Noun	Adjective	Verb	Adverb
honorary society	Yes	No	No	No
academy	Yes	No	No	No

As nouns, honorary society and academy are synonyms defined as:

honorary society and academy: an institution for the advancement of art or science or literature

honorary society (noun)	academy (noun)
an institution for the advancement of art or science or literature	a learned establishment for the advancement of knowledge
	a secondary school (usually private)
	a school for special training
	an institution for the advancement of art or science or literature