cafe vs coffee shop

cafe and coffee shop both are nouns.

Word	Noun	Adjective	Verb	Adverb
cafe	Yes	No	No	No
coffee shop	Yes	No	No	No

As nouns, cafe and coffee shop are synonyms defined as:

cafe and coffee shop: a small restaurant where drinks and snacks are sold

Other synonyms of cafe include coffee bar, coffeehouse.

cafe (noun)	coffee shop (noun)
a small restaurant where drinks and snacks are sold	a small restaurant where drinks and snacks are sold