 This study demonstrates the use of all dielectric higher-order muresonant metasurfaces to achieve high-quality factor wavefront shaping in two spatial dimensions, resulting in transmissive band-stop filters, beam deflectors, and high numerical aperture radial lenses with measured quality factors in the range of 2021475 at near-infrared wavelengths. The excited optical mode and resulting wavefront control are both local, allowing versatile operation with finite apertures and oblique illumination, representing an improvement in quality factor by nearly two orders of magnitude over previous localized mode designs and providing a design approach for a new class of compact optical devices. This article was authored by Claudio U. Hale, Morgan Foley, Ruzan Socoian, and others.