A common misconception is that oily or acne-prone skin doesn't need moisture. Contrarily, this skin type is thirsty for hydration, which is why it goes into overdrive on sebum production. Keep your skin hydrated with a product that combats acne at the same time. We love Sunday Riley's U.F.O. Ultra Clarifying Face Oil ($40), which contains 1.5 percent salicylic acid, antibacterial tea tree and black cumin seed oils, and brightening licorice.