vaudeville theater vs theatre

vaudeville theater and theatre both are nouns.

Word	Noun	Adjective	Verb	Adverb
vaudeville theater	Yes	No	No	No
theatre	Yes	No	No	No

As nouns, theatre is a hypernym of vaudeville theater; that is, theatre is a word with a broader meaning than vaudeville theater:

vaudeville theater: a theater in which vaudeville is staged
theatre: a building where theatrical performances or motion-picture shows can be presented

Other hypernyms of vaudeville theater include house, theater.

vaudeville theater (noun)	theatre (noun)
a theater in which vaudeville is staged	a building where theatrical performances or motion-picture shows can be presented
	the art of writing and producing plays
	a region in which active military operations are in progress