Displacing beams of light in a controlled manner is integral to a wide range of optical methods such as scanning microscopes and optical tweezers. Optical super-resolution techniques like STED and RESOLFT, as well as localization techniques like MINFLUX and MINSTED rely on accurate and fast beam displacements. Extending these methods to the third dimension requires axial deflection, which, in contrast to lateral deflection, remains technologically challenging on the microsecond scale. Here, we present a general-purpose beam-shaping polarization interferometer that enables such axial deflections and, based on it, showcase a four-channel dual-color excitation system for three-dimensional MINFLUX imaging and tracking. We include first demonstrations of improved MINFLUX localization schemes that utilize the combination of distinct beam shapes and three-dimensional multi-emitter tracking. We believe that the presented approach will facilitate the broader adoption of three dimensional MINFLUX and provides a versatile basis for future implementations of advanced single-molecule localization methods.