This is an 18th C building with considerable 19th and 20th C alterations. It is one of several buildings on the south side of Groat Market whose superficial appearance belies their age - see also NZ2464 : 39 Groat Market, NE1 and NZ2464 : 33-37 Groat Market, NE1. The building is not listed.
Newcastle's 'new' co-op was built on Newgate Street in 1932. Although 'art decor' in style, it gave more than a nod to Egypt where Howard Carter's discovery of Tutankhamun's tomb had just taken place. See http://www.timmonet.co.uk/html/newcastle_co-op.htm