A MEMS actuator includes a coil stack in the form of microfabricated, electrically conductive first and second superposed layers. A magnet array is superposed in magnetic communication with the coil stack, with first and second coils being selectively, electrically actuatable to generate relative movement between the coil stack and the magnet array both in-plane and out-of-plane. In various embodiments, a plurality of the actuators are integrally coupled to a microfabricated compliant mechanism to provide a high bandwidth, six degree of freedom nanopositioner.