An electrical outlet box installation in which there is no exposed cover plate, only the operative portion of the electrical component is visible at the wall surface. The operative portion of the component may be an electrical outlet, jack, switch, knob, or light, for example. The body of the electrical component is housed within the outlet box, also referred to as a junction box, with the open side of the outlet box being covered by a plate assembly having an opening that closely surrounds the operative portion of the component. The surface of the plate assembly is covered with wallboard mud, or other wall finishing material, which is blended into the surrounding surface of the wall so that only the operative portion of the component is exposed. The plate assembly includes a projecting wall or lip around the opening, up to which the mud or other fill material is applied. The wall covering may also be panelling, stone, tile or similar materials, in which instances the operative portion of the component may protrude somewhat from the plate assembly so as to be positioned at the surface of the overlay material. Configurations are provided for use with conventionally shaped outlet boxes and components, and additional configurations are provided which employ specially shaped components which are removably installed in cooperating receptacles formed in the plate assemblies.