Aug 28, 2020 · You can choose from plenty of starchy vegetables and grains when on the gluten-free diet. Of course, you’ll want to avoid wheat, barley, rye and spelts, but so many grains and starches are on the table, including: Amaranth; Buckwheat (despite its name, it’s gluten free and contains no wheat) Cassava flour (yuca) Cornmeal; Cornstarch; Guar gum