pizza shop vs pizzeria

pizza shop and pizzeria both are nouns.

Word	Noun	Adjective	Verb	Adverb
pizza shop	Yes	No	No	No
pizzeria	Yes	No	No	No

As nouns, pizza shop and pizzeria are synonyms defined as:

Other synonyms of pizza shop include pizza parlor.

pizza shop (noun)	pizzeria (noun)
a shop where pizzas are made and sold	a shop where pizzas are made and sold