Related Articles. If you're just starting the Atkins diet, you'll need to avoid all types of grains -- including bread, pasta and rice -- milk, yogurt, starchy vegetables, fruit and any form of sugar. Instead, you'll focus your meals on low-carbohydrate vegetables, eggs, fish, shellfish, cheese, poultry and meats such as beef and pork. Lunch meats can have a place in your diet, but it's best to avoid them, if possible.