There are several hundred naturally occurring carotenoids available through dietary sources. Examples include lutein, lycopene, and xeaxanthin among others. Vitamin supplements often include a synthetic ingredient call beta-carotene. I generally do not recommend taking high dose beta-carotene supplements because of these findings. This is definitely a vitamin class that we are much better off getting from nutritional sources.
Selenium is a mineral that is widely available from meat and animal products.
Plant sources may have variable levels due to inconsistencies in soils. Dr. Gotfried points out that two other nutrients deserve special mention, not because of their antioxidant benefit, but because of their documented benefit in preventing other conditions. Folic acid is a B vitamin that is actually the only vitamin that can claim an FDA indication for medical benefit. The other supplement that should be mentioned is the mineral calcium. As we age our bones can become depleted of calcium leading to the condition called osteoporosis.