tobacconist shop vs tobacco shop

tobacconist shop and tobacco shop both are nouns.

Word	Noun	Adjective	Verb	Adverb
tobacconist shop	Yes	No	No	No
tobacco shop	Yes	No	No	No

As nouns, tobacconist shop and tobacco shop are synonyms defined as:

tobacconist shop and tobacco shop: a shop that sells pipes and pipe tobacco and cigars and cigarettes

Other synonyms of tobacconist shop include tobacconist.

tobacconist shop (noun)	tobacco shop (noun)
a shop that sells pipes and pipe tobacco and cigars and cigarettes	a shop that sells pipes and pipe tobacco and cigars and cigarettes