From Longman Dictionary of Contemporary Englishcorner shopˈcorner shop noun [countable] British English SHOP/STOREa small shop near houses, that sells food, cigarettes, and other things needed every day → convenience store
Examples from the Corpus
corner shop• Tucker's was a corner shop on Hoomey's way home.• The residents go to the pub, the local corner shop, the club and they go and play bingo.• CO-OP shops take many forms - from the small corner shop to the department store or hypermarket.From Longman Business Dictionarycorner shopˈcorner ˌshop British EnglishCOMMERCE a small shop on a street where people live rather than in a town centre, that sells things that are needed every day such as food and newspapers → shop 