What are the best seafood restaurants in Norfolk VA? 7 Great Seafood Restaurants in Downtown Norfolk, VA. 1 1. Norfolk Seafood Company & Big Easy Oyster Bar. 111 West Tazewell Street. 757-227-6222. Fresh, local seafood with a cajun creole twist. Must-order … 2 2. Stripers Waterside. 3 3. 456 Fish. 4 4. Saltine….