Any foods made from animal milk, mainly cow or buffalo milk, are considered dairy products. These include the following foods: 1  Milk. 2  Cheese.3  Yogurt. 4  Pudding. 5  Ice cream. 6  Ice milk. 7  Frozen yogurt.ny foods made from animal milk, mainly cow or buffalo milk, are considered dairy products. These include the following foods: 1  Milk. 2  Cheese.