  It is commonly believed that a non-interacting disordered electronic system
can undergo only the Anderson metal-insulator transition. It has been
suggested, however, that a broad class of systems can display disorder-driven
transitions distinct from Anderson localisation that have manifestations in the
disorder-averaged density of states, conductivity and other observables. Such
transitions have received particular attention in the context of recently
discovered 3D Weyl and Dirac materials but have also been predicted in
cold-atom systems with long-range interactions, quantum kicked rotors and all
sufficiently high-dimensional systems. Moreover, such systems exhibit
unconventional behaviour of Lifshitz tails, energy-level statistics and
ballistic-transport properties. Here we review recent progress and the status
of results on non-Anderson disorder-driven transitions and related phenomena.
