Aqueous liquid compositions are provided, which comprise nonionic polymers, such as polyvinyl alcohol (PVA), polyvinylpyrrolidone (PVP), or combinations thereof, and which are free of or substantially free of salt-forming groups. The aqueous liquids form solid, flexible films after direct application to skin, and the films may be peeled from the skin to remove adhered keratotic plugs from pores of the skin. The compositions are easily applied to skin, without dripping, with fingers, a brush, or other applicators.