Ferromagnetic III–Mn–V semiconductors such as GaMnAs represent systems inwhich electronic and magnetic properties are closely intertwined, which results inentirely new effects in electrical transport. We illustrate this by the unique andsomewhat unexpected magnetotransport phenomena observed in GaMnAs filmsgrown on vicinal substrates (i.e., on surfaces tilted by several degrees relativeto the (100) plane) as well as on substrates with high-index-plane surfaces. Inparticular, it will be shown that such vicinal or high-index-plane GaMnAs layersmanifest a striking asymmetry in the dependence of the planar Hall resistanceRxy on magnetic field, caused by the superposition of the planar Hall effect (PHE) and theanomalous Hall effect (AHE). This asymmetry is a direct manifestation of the effectof magnetocrystalline anisotropy in GaMnAs that confines the magnetizationM toa preferred crystal plane rather than to the plane of the film, resulting in turn in a finite componentof M normal to the sample plane. The ability to investigate PHE and AHE occurring simultaneouslyin the same sample revealed a clear relationship between the two effects, suggesting thatPHE and AHE are fundamentally connected. The asymmetry of the resistanceRxy occurring in the PHE geometry in these GaMnAs layers also allows one to obtain fourdistinct zero-field resistance states that depend on the history of the experiment, makingthis effect of potential interest for building a unique four-state magnetic memory device.Moreover, measurements with the magnetic field normal to the growth plane insuch tilted samples have revealed a new highly complex hysteresis behaviour ofRxy. These results, together with measurements of anisotropic magnetoresistance(AMR) measured on samples grown on high-index planes, point to the intimaterelationship between magnetotransport and magnetocrystalline anisotropy in GaMnAs,providing new insights into this complex interdependence, as well as opening newopportunities for exploiting magnetic anisotropy for use in spintronic devices.