A healthy diet begins with fresh vegetables and fruits which play a major role Fruits And Vegetable: List of Low and High Sugar Fruit and Vegetable. Tomato Turnip greens. Watercress Zucchini. Vegetables That Are. Fruits are known as being super sweet foods that are rich in sugar. Olives contain a large amount of healthy fat, some dietary fiber and a tiny bit of protein, but no sugar. The tomato is another fruit that is often mistaken for being a vegetable. A healthy diet begins with fresh vegetables and fruits and is part of a bigger balanced diet that includes foods that When you are on a diet, especially low carb diet, you should beware of high sugar fruits. Low Sugar Fruit Tomato: g.