What is a natural approach to good skincare?

I have really sensitive skin, and the slightest change in my diet, the weather, and any number of things can cause me to break out. I'd say I have pretty moderate acne. I went to the dermatologist a few months back and he prescribed harsh medications with ingredients like benzoyl peroxide. They've been doing wonders for my breakouts, but now my complexion is dry in some places and just looks dull. Are there natural products to use in a daily and nightly skincare routine that don't cause breakouts and keep your skin looking fresh?