Foods containing simple carbohydrates include sugary fluids like soda or energy drinks, deserts, syrups, and processed foods. Complex carbohydrates include two types of foods: dietary fibers and starches. Foods with dietary fiber include nuts seed, fruits, beans, oatmeal, barley, bran, and vegetables.Starches include potatoes, beans, peas, corn, and some breads, cereals, and grains.he following foods have carbohydrates: 1  bread, bagels, muffins, crackers, tortillas, and crust. 2  cereal. 3  pasta, noodles, and rice. 4  starchy vegetables such as corn, peas, potatoes, and sweet potatoes.