Whole-grain products such as brown rice, whole-grain pasta, beans, whole wheat bread, whole oats, buckwheat, millet, whole rye, whole-grain barley and whole-grain corn are considered good carbohydrates. These foods are rich in fiber, vitamins, minerals and phytonutrients that are beneficial to your health.wo types of carbohydrates exist: complex carbohydrates and simple carbohydrates. Complex carbohydrates take time to break down into glucose. Foods rich in complex carbohydrates and fiber are called good carbohydrates.