Costume Shop Finder Dudley Costume Shop Listings page. This section lists as many Costume Shops we could find in Dudley. If you are the owner of a Costume Shop in Dudley please submit your listing using the Get Listed link at the top. These Dudley Costume Shops offer costumes and fancy dress for adults or children in Dudley, including theatrical and party costumes, Halloween costumes and costume accessories. Most Costume Shops listed below also offer costume accessories such as masks, wigs, make up and props in Dudley.