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Fish lacks carbs and provides omega-3 fatty acids. You have a lot of zero-carb foods to choose from on a low-carb diet. All of the major proteins -- meat, poultry and fish -- are naturally free of carbs and sugar. A variety of oils, vinegars and seasonings are also on the carb-free list. But there are some exceptions.
No Grain Diet Basics. The No Grain diet is very low in carbohydrates, as it requires dieters to eliminate all grains, sugar, potatoes, and sweets. Dieters also eliminate fruit while in the early stages of the diet.