Tomatoes. A major source of the antioxidant lycopene that reduces the risk of cancer by 40% -- notably prostate, lung and stomach cancers -- and increases cancer survival. Tomato eaters function better mentally in old age and suffer half as much heart disease. Concentrated tomato sauces have 5 times more lycopene than fresh tomatoes, and canned tomatoes have three times more than fresh. Olive Oil. Shown to help reduce death from heart disease and cancer. Recent research shows that heart-attack survivors on a Mediterranean diet had half the death rates of those on an ordinary low-fat diet. Olive oil is also high in antioxidant activity. Red Grapes, including red grape juice and red wine. Red grapes have moderate antioxidant power, while purple grape juice has four times more antioxidant activity than orange or tomato juice. Red wine (not white) has about the same antioxidant capacity as purple grape jui