The present invention is directed to methods of forming contact openings. In one illustrative embodiment, the method includes forming a feature above a semiconducting substrate, forming a layer stack comprised of a plurality of layers of material above the feature, the layer stack having an original height, reducing the original height of the layer stack to thereby define a reduced height layer stack above the feature, forming an opening in the reduced height layer stack for a conductive member that will be electrically coupled to the feature and forming the conductive member in the opening in the reduced height layer stack.