Galveston Seafood Company, Abilene, Texas. Or order fresh seafood … Fish Seafood Markets in Galveston on YP.com. Katie's Seafood Market, Galveston: Hours, Address, Katie's Seafood Market Reviews: 4.5/5 Visit them for fresh red snapper, grouper, golden tile, flounder, oysters, shrimp, and crabsfresh from the boat! 20 reviews of Allex's Seafood Market "Every time we come to Galveston we shop at Allex's Seafood Market West - shrimp, flounder and Snapper have been our choices to date and always fresh and excellent! 3.8K likes. Katies Seafood Market located in Galveston, Tx on Pier 19. Best Seafood Markets in Galveston, TX - Katie's Seafood Market, Galveston Shrimp Company, Allex's Seafood Market, Island Seafood, Sampson & Son's Seafood, Discount Seafood Market, Joe's Bait & Crabs, Hillman's Seafood & Fish House, Fabian Seafood, Boyd's One Stop, Milt's Seafood Plant, US Sea Products, Gastian's Pier, Hillman Shrimp & Oyster, Strand Historic District Association, TC Bait … We sell fresh seafood in-store, online, and to restaurants. Customer service is always great and very… See reviews, photos, directions, phone numbers and more for the best Fish & Seafood Markets in Galveston, TX. About. S erving retail, restaurant, and wholesale customers, Katie’s Seafood Market offers the largest selection of fresh seafood in Galveston. Bringing Fresh Gulf Coast Seafood to Abilene, Texas!