Not only can you load up on produce, freshly ground Middle Eastern and Indian spices, natural honey, and every variety of date known to man at the refurbished Waterfront Market (known as Deira Fish Market when it opened in the 1950s), you can have a truly authentic Dubai experience. In spite of having been updated with modern conveniences and air-conditioned facilities, one satisfying ritual has been preserved from the old market: When you want to order grilled fish or shrimp from the restaurant, you can select your own from the display.