This review presents results from magnetovariation fields recorded by two‐dimensional arrays of magnetometers. The emphasis is on the conductive structures mapped and studied and their tectonic implications. Eleven arrays were operated in North America between 1967 and 1985. A region of highly conductive uppermost mantle and/or lower crust, extending at least from 33°N to 54°N, has been shown to extend beneath much of the continent west of the Rocky Mountains. Two recent investigations are discussed in more detail: those of conductive structures under the Canadian Rockies and EMSLAB (Electromagnetic Sounding of the Lithosphere and Beyond) array results for Washington and Oregon, including a conductive strip beneath the Cascades volcanoes. Correlations with high heat flow and seismic parameters make it reasonable to attribute these regional conductors to partial melting and/or hot saline water. Within the craton the North American Central Plains conductor is discussed; this narrow, crustal feature is associated with a major fracture zone and age boundary, which may be a plate boundary of Proterozoic time. An array beneath the auroral electrojet, for study of the external currents, is noted. Results from four array studies in southern Africa are considered. Two of these relate to the Southern Cape Conductive Belt, which correlates not with high heat flow but with a large static magnetic anomaly. The magnetovariation, magnetic and gravity anomalies, and geological data can be accounted for if an accumulation of ophiolitic rocks including serpentine is present in the lower crust. Such an accumulation may have formed at a subduction in Proterozoic time. Two other arrays delineated a conductive belt associated with the southwestern end of the African rift system, in Namibia. Subsequent resistivity soundings located a conductor of resistivity 10 ohm m at less than 4 km depth. Two array studies in India follow, one in the north and one in the south. The array in the Himalayan foothills and Indo‐Gangetic plain mapped a conductor transverse to the regional strike; this may be a fracture zone produced in the interplate collision, with a rise of asthenospheric material such as fluids into the fractures. The southern Indian array reveals crustal conductors under the Indo‐Sri Lankan graben and another under the Comorin Ridge southwest of the tip of the subcontinent. Array studies in central and southeastern Australia and in Fennoscandia, in regions without large local conductivity anomalies, have been used to study conductivity variation with depth. A note on the Carpathian crustal anomaly is included as an example of combination of response parameters secured at different times to form a “virtual” array.