Aesop's fables vs parable

Aesop's fables and parable both are nouns.

Word	Noun	Adjective	Verb	Adverb
Aesop's fables	Yes	No	No	No
parable	Yes	No	No	No

As nouns, parable is a hypernym of Aesop's fables; that is, parable is a word with a broader meaning than Aesop's fables:

Aesop's fables: a collection of fables believed to have been written by the Greek storyteller Aesop
parable: a short moral story (often with animal characters)

Other hypernyms of Aesop's fables include allegory, apologue, fable.

Aesop's fables (noun)	parable (noun)
a collection of fables believed to have been written by the Greek storyteller Aesop	a short moral story (often with animal characters)
	(New Testament) any of the stories told by Jesus to convey his religious message