Zero- and reduced-calorie frozen carbonated beverages comprising rare sugars are provided herein. The beverages contain a freezing point depressant composition comprising at least one rare sugar and, optionally, one or more other freezing point depressant compounds. Frozen carbonated beverages comprising natural high potency sweeteners and rare sugars with sugar-like characteristics are also provided, wherein the natural high potency sweetener and rare sugars are present in particular weight ratios. Methods of preparing the frozen carbonated beverages are also provided.