Methods and apparatuses for electromechanically and/or electrochemically-mechanically removing conductive material from a microelectronic substrate. An apparatus in accordance with one embodiment includes a support member configured to releasably carry a microelectronic substrate and first and second electrodes spaced apart from each other and from the microelectronic substrate. A polishing medium is positioned between the electrodes and the support member and has a polishing surface positioned to contact the microelectronic substrate. At least a portion of the first and second electrodes can be recessed from the polishing surface. A liquid, such as an electrolytic liquid, can be provided in the recess, for example, through flow passages in the electrodes and/or the polishing medium. A variable electrical signal is passed from at least one of the electrodes, through the electrolyte and to the microelectronic substrate to remove material from the substrate.