filmmaker vs film producer

filmmaker and film producer both are nouns.

Word	Noun	Adjective	Verb	Adverb
filmmaker	Yes	No	No	No
film producer	Yes	No	No	No

As nouns, filmmaker and film producer are synonyms defined as:

Other synonyms of filmmaker include film maker, movie maker.

filmmaker (noun)	film producer (noun)
a producer of motion pictures	a producer of motion pictures