Planarizing machines and methods for mechanical and/or chemical-mechanical planarization of micro-device workpieces are disclosed herein. In one embodiment, a method for polishing a workpiece includes determining an estimated frequency of serial defects in a workpiece, pressing the workpiece against a polishing pad and moving the workpiece relative to the pad. The method further includes vibrating the workpiece and/or the pad at a frequency that is greater than the estimated frequency of the serial defects. In one aspect of this embodiment, determining the estimated frequency of serial defects can include: determining a relative velocity between the workpiece and the polishing pad; estimating the length of a mark on the workpiece; estimating the time a particle in a planarizing solution is in contact with the workpiece; and estimating the number of cracks in the workpiece.