Beef, Pork, Lamb, Chicken, Bacon, And Others Fatty Fish And Seafood: Web popcorn is a popular snack food that is commonly eaten on the atkins diet. This includes all desserts, such as pies,. Web you’ll be pleased to know that vegetables such as lettuce, tomatoes and, yes, broccoli may be eaten in moderation. Web The Atkins Diet Is A Low Carb Diet Where The Body Burns More Calories Than On Other Diets Because Ketosis Occurs.