famished vs esurient

famished and esurient both are adjectives.

Word	Noun	Adjective	Verb	Adverb
famished	No	Yes	No	No
esurient	No	Yes	No	No

As adjectives, famished and esurient are synonyms defined as:

Other synonyms of famished include ravenous, sharp-set, starved.

famished (adjective)	esurient (adjective)
extremely hungry	(often followed by `for') ardently or excessively desirous
	devouring or craving food in great quantities
	extremely hungry