motion picture vs moving-picture show

motion picture and moving-picture show both are nouns.

Word	Noun	Adjective	Verb	Adverb
motion picture	Yes	No	No	No
moving-picture show	Yes	No	No	No

As nouns, motion picture and moving-picture show are synonyms defined as:

motion picture and moving-picture show: a form of entertainment that enacts a story by sound and a sequence of images giving the illusion of continuous movement

Other synonyms of motion picture include film, flick, motion-picture show, movie, moving picture, pic, picture, picture show.

motion picture (noun)	moving-picture show (noun)
a form of entertainment that enacts a story by sound and a sequence of images giving the illusion of continuous movement	a form of entertainment that enacts a story by sound and a sequence of images giving the illusion of continuous movement