Magnetic field effects were first noticed in texture formation in ferrous alloys more than half a century ago, when the available field intensity was an order of or less than one Tesla. With increasing availability of very intense magnetic fields of an order of ten Tesla, the potential of magnetic field as an additional controllable external parameter for microstructure control is widely recognized, not only in ferromagnetic, but also in non-ferromagnetic metals and alloys. As a companion paper to Part I on electric field effects the influence of magnetic fields on microstructure, morphology and kinetics of transformations in solid metallic materials are reviewed in Part II.