bill of fare vs carte du jour

bill of fare and carte du jour both are nouns.

Word	Noun	Adjective	Verb	Adverb
bill of fare	Yes	No	No	No
carte du jour	Yes	No	No	No

As nouns, bill of fare and carte du jour are synonyms defined as:

bill of fare and carte du jour: a list of dishes available at a restaurant

Other synonyms of bill of fare include card, carte, menu.

bill of fare (noun)	carte du jour (noun)
a list of dishes available at a restaurant	a list of dishes available at a restaurant