The rind of a pomegranate is not only antioxidant-rich, but high in polyphenols, too, per Healthline. This means that pomegranate skin could help with skin conditions like hyperpigmentation and potentially even acne. Pomegranate rinds additionally have medicinal benefits like being able to relieve a sore throat due to the naturally antibacterial properties they contain. 

Dried poppy petals have a similar antioxidant effect. A study determining whether poppies can help with issues such as inflammation found that poppy petals have the potential to "serve as a valuable dietary supplement, providing antioxidants and minerals required by the human body to function properly." 

In general, antioxidants act as a barrier to the molecules around us. These molecules can cause issues like premature aging and loss of elasticity in your skin. If you want to counteract these effects, look for products that contain antioxidant-filled ingredients and research which antioxidants you need to add to your diet. There are lots of different antioxidants out there, but the ones found in poppy petals and pomegranate rinds make them some of the best for your skin.