Clear and opaque polymeric film structures for providing clear and opaque labels that are removable, respectively. The film structure includes a core layer and first skin layer, wherein the first skin layer contains a polymeric matrix of a material that allows a label, which has been produced from the film structure and applied onto a container or product, to be removed from the container or product by the solution employed in a process for re-using the container. The first skin layer is co-extruded along with the remainder of the layers of the film structure, or the first skin layer is deposited on the film structure as an emulsion or extrusion coating. The first skin layer can be contacted with a water-based adhesive to affix the label onto a particular product or product container. Labels produced from the film structure exhibit a desirable combination of excellent initial adhesion strength, moisture resistance and delaminatability, as well as excellent removability.