Countertop Potato & Onion Storage Baskets, Set of 2. Breathable woven baskets like these, used for centuries in Europe, shield the contents from light and keep potatoes and onions fresher longer. These have flat backs so they fit nicely on a counter. Fill them from the top with up to 8 pounds of vegetables, then dispense from the pocket below. Natural willow baskets with sea grass handles add a little country style to your kitchen or pantry.