The most popular types of low carb diet are the Atkins diet, Dukan diet, Keto diet and Paleo diet and they differ slightly in their recommendations of what to eat; yet they all insist on a low carb intake. When following a low carb diet, you eat more protein and fat containing foods; such as meat, fish, cheese, eggs, oils and butter. These are, for the most part, zero carb. Some of these diet encourage you to eat vegetables yet avoid high carb foods like bread, pasta and rice.