film producer vs movie maker

film producer and movie maker both are nouns.

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

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

Other synonyms of film producer include film maker, filmmaker.

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