A family of anchor devices that include a back plate mounted behind a mounting surface with a flange mounted in front of the mounting surface and generally a ring or hook carrier member that engages an anchor ring or a hook. In several embodiments the carrier can rotate without axles pins or the like allowing the load to align the device in a direction of maximum convenience and strength. A first embodiment provides a rotating ring in a recessed retaining cup that provides for maximum flexibility. A second embodiment provides a rotating ring in a clip carrier in a raised mounting flange. A third embodiment provides a swivel insert hook carrier that can rotate. A fourth embodiment includes a ring that engages a notch in a raised carrier. Fifth and sixth embodiments provide attachments for one or multiple hooks in a fixed-mounted, non-rotating flange.