Disclosed are soft polymer compositions comprising an ethylene/alkyl (meth)acrylate copolymer and a crystalline polyolefin, such as polypropylene homopolymers or polypropylene copolymers, wherein the ethylene/alkyl (meth)acrylate copolymer has a higher melt viscosity than the polyolefin. Also disclosed are such compositions modified by materials that improve the scratch-and-mar properties of the blends, the preparation and use of these compositions in such processes as extrusion and injection molding, and articles made from these compositions.