Recent theoretical predictions and subsequent experimental synthesis and characterization of record high-Tc superconductors (LaH10, H3S, ThH10, YH6, YH9) have reexcited the hopes for room-temperature superconductivity. Indeed, almost room-temperature (with established Tc=250-260 K) has already been reached. All of these compounds are non-classical, with chemical compositions that cannot be explained by atomic valences and cannot be anticipated without explicit quantum-mechanical calculations or experiments. Our session will present progress in this exciting field, including theoretical and experimental methodologies, new hydride superconductors, new ideas for reaching room-temperature and above room-temperature superconductivity, and new insights into the chemistry and bonding of these unusual compounds.