A monolayer or multilayer film having a desired decorative appearance for use as an overlay to cover substrates employed in the construction field to provide construction laminates having a desired decorative appearance. The film overlays include, on one surface thereof, a functional adhesive primer for receiving an aqueous adhesive thereon for bonding the film to the substrates. The film includes an opposed surface having a desired decorative appearance. In one preferred embodiment, the monolayer film or core layer of the multilayer film includes a polyolefin blended with one or more opacifying agents, preferably including a non-voiding opacifying agent without the use of a void-creating additive therein. In certain multilayer film embodiments the core layer can include a void creating additive, either without a non-voiding opacifying. Laminates including the film overlays of this invention bonded to substrates to form construction panels also form a part of the invention.