Fruits to Eat Less or Avoid vs. Fruits to Eat. Natural fructose sources are fruit juices, raisins, dates, figs, prunes, grapes, mangos, papayas, apricots, pineapples and bananas. These are the super-sweet fruits to reduce or avoid eating. Apple and grape juice sweetened foods are high in fructose. Juices are extracted sweetness without the fiber, and they’re loaded with fructose. Fruit juices and soft drinks are equally high in fructose.