Fatty foods that contain saturated fat, trans fats and/or cholesterol are linked to poor heart health and increased risk for high cholesterol, high blood pressure and cardiac arrest. Excessive consumption of unhealthy fats is also a major risk factor for heart disease, a leading cause of death in America, according to the New York Times Health Guide. Foods rich in saturated fat and cholesterol include beef, beef fat, lamb, veal, organ meats, poultry fat, whole milk, butter, cream and egg yolks. Processed foods such as commercially prepared cookies, cakes, chips, crackers and fast food, are major contributors of trans fats. Consuming more than 10 percent of your daily calories in the form of saturated fat and 1 percent in the form of trans fat increases your risk for fatty food-related health problems.