This excellent yet inexpensive place for fresh seafood, including karides güvec (prawn stew) and fish sandwiches, is a gleaming white contrast to the old-world bustle of the bazaar area outside.
To find it, cross the square behind (west of) the main mosque then take the alley beside the Kaptan Balıkçılık 2 fishmonger shop. Note that there's an altogether separate Kaptan Balıkçılık shop near the City Otel but it doesn't have a restaurant.