Giving your feline ice cream is not a foolproof idea. Ice cream is high in sugar and other flavors that can upset a cat's stomach. It can also lead to obesity, tooth decay, and other health problems. Instead, try giving your cat Greek yogurt as a safe and healthy alternative. It contains beneficial probiotics that can help keep your cat's digestive system healthy, and it has a moderate amount of sugar, so it won't cause an upset stomach or diarrhea as ice cream can.