bill of fare vs menu

bill of fare and menu both are nouns.

Word	Noun	Adjective	Verb	Adverb
bill of fare	Yes	No	No	No
menu	Yes	No	No	No

As nouns, bill of fare and menu are synonyms defined as:

Other synonyms of bill of fare include card, carte, carte du jour.

bill of fare (noun)	menu (noun)
a list of dishes available at a restaurant	an agenda of things to do
	a list of dishes available at a restaurant
	(computer science) a list of options available to a computer user
	the dishes making up a meal