  We review constructions of three-dimensional `quantum' black holes. Such
spacetimes arise via holographic braneworlds and are exact solutions to an
induced higher-derivative theory of gravity consistently coupled to a large$-c$
quantum field theory with an ultraviolet cutoff, accounting for all orders of
semi-classical backreaction. Notably, such quantum-corrected black holes are
much larger than the Planck length. We describe the geometry and horizon
thermodynamics of a host of asymptotically (anti-) de Sitter and flat quantum
black holes. A summary of higher-dimensional extensions is given. We survey
multiple applications of quantum black holes and braneworld holography.
