Disclosed are make-up removal compositions, comprising a mineral oil-free oil phase a sodium salt of an acrylate copolymer a stabilizing polymer and a hydrophobic wetting agent, and methods of using the compositions to remove make-up from facial tissue or skin. The disclosed compositions exhibit a rheological profile that features a variable ("up and down" or "increasing and then decreasing") shear stress response to increasing shear rates, and which is believed to contribute to better performance than known make-up removal compositions tested.