Starch. Foods high in starch include: 1  Starchy vegetables like peas, corn, lima beans and potatoes. 2  Dried beans, lentils and peas such as pinto beans, kidney beans, black eyed peas and split peas.3  Grains like oats, barley and rice. ( 4 The majority of grain products in the US are made from wheat flour.oods high in starch include: 1  Starchy vegetables like peas, corn, lima beans and potatoes. 2  Dried beans, lentils and peas such as pinto beans, kidney beans, black eyed peas and split peas.