Many of the World's Healthiest Foods contain starches, resistant starches, and non-starch polysaccharides as well. You'll find some key non-starch polysaccharides in the World's Healthiest fruits, as well as in flaxseeds, pumpkin seeds, potatoes, corn, and beets.Resistant starches are present in the many of the World's Healthiest grains, legumes, and vegetables.oth types of polysaccharides—starch and non-starch—have important roles to play in our health. The starches serve primarily as an intermediate form of energy. Since they are large molecules of linked simple sugars, they take time to break down and absorb.