film producer vs film maker

film producer and film maker both are nouns.

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

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

Other synonyms of film producer include filmmaker, movie maker.

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