💡150 Catchy Ice Cream Company Names + Name Generator One-Word Ice Cream Business Name Ideas. One-word business names are catchy and easily memorable. You can use a single word to describe your ice cream business or highlight your unique selling point. For example, you might use ‘Cheap Lollies’ to represent your cost-effective ice cream. Just think of root words associated with ice cream. Mickey Premium Bar Not Worth It, Ice-Cream Sandwich Is Best — Apr 14, 2022The Mickey premium ice-cream bars at the Disney parks get a lot of attention — and selfies. The hashtag #Mickeybar has over 20,000 photos on Instagram, and the bar is considered one of the most popular desserts in the park. It’s a solid ice-cream option, but there’s a way more under-the-radar treat modeled after the famous mouse that I think is better.