History of sushi. Goldfish and Mantis Shrimp Sushi" , Fish: You can check your local supermarket, as they usually have several varieties available. You can find tons of recipes online for sushi that doesn't include any seaweed. Traditionally, it is filled with eel and cucumber wrapped with a thin layer of avocado. Not Helpful 6 Helpful June 21, Sushi rice is just glutinous short-grained white rice. It is commonly eaten because it is filling, fast and easy to make.