Had to look up ice milk since I have never heard of it.
http://en.wikipedia.org/wiki/Ice_milk
Ice milk, or iced milk, is a frozen dessert with less than 10 percent milkfat and the same sweetener content as ice cream. Ice milk is typically priced lower than ice cream and is typically sold as a generic product.
A 1994 change in United States Food and Drug Administration rules allowed ice milk to be labeled as low-fat ice cream in the United States.[1]
Products containing less milk fat but higher sweetener content are sold as sherbet, and products with no milk fat or dairy analogues are sold as sorbet. Products which use nonfat or lowfat yogurt or dairy analogues are sold as frozen yogurt.
They had “ice milk” in the Soviet Union.
They used to sell a product called Melorine. God, it was awful. My wife said her dad would eat a half gallon at a time. He bought it because it was cheap.