Also known as an under the counter freezer, the under counter freezer is a compact freezing unit that fits snugly under the standard kitchen countertop. The unit is normally the same size as the standard under counter dishwasher.An undercounter refrigerator is a smaller appliance designed to fit beneath your counters and between cabinets to store extra food, wine and other beverages. These models differ from mini- or compact refrigerators as they are designed to be built into your kitchen and have features and temperature settings.