A dairy-free diet excludes all dairy products, including animal milk, as well as all products made from that milk, such as cheese, yogurt, butter, and cream. People on this diet can still eat other animal foods such as meat, fish, shellfish, and eggs. Dairy-free diets are often chosen for health reasons, such as a cow's milk allergy or lactose intolerance, in which your body cannot digest the lactose in milk sugar.