Other good choices to maximize insoluble fiber are pineapple, pomegranates, and apples with their peel consumed along with the flesh. Bananas also have more insoluble fiber than soluble fiber, as do pomegranates and strawberries, making them good, high-fiber foods that are not likely to cause gas.email.ther good choices to maximize insoluble fiber are pineapple, pomegranates, and apples with their peel consumed along with the flesh. Bananas also have more insoluble fiber than soluble fiber, as do pomegranates and strawberries, making them good, high-fiber foods that are not likely to cause gas. email.