Saturated fats occur naturally in many foods. The majority come from animal sources -- meat and dairy (milk fat) such as fatty beef, lamb, pork, poultry with skin, beef fat (tallow), lard, cream, butter, cheese, and other dairy products made from whole or reduced-fat (2%) milk.These foods also contain cholesterol.Many baked goods and fried foods can also contain high levels of saturated fats. Some plant foods, such as palm oil, palm kernel oil and coconut oil, also contain primarily saturated fats but do not contain cholesterol. Trans fats are found in many foods.any baked goods and fried foods can also contain high levels of saturated fats. Some plant foods, such as palm oil, palm kernel oil and coconut oil, also contain primarily saturated fats but do not contain cholesterol.