You will find the best antiques shops located in the First District, many clustered close to the Dorotheum auction house, in the Dorotheergasse, Stallburggasse, Plankengasse, and Spiegelgasse. You'll also find interesting shops in the Josefstadt (Eighth) district, with prices considerably lower than those in the center of town. Wander up Florianigasse and back down Josefstädter Strasse, being sure not to overlook the narrow side streets.
Several good stores whose stock includes books in English are on the Graben and Kärntnerstrasse in the First District.
High quality -- and prices -- define the clothing selections in Vienna. The best shops are in the First District.