We review hybrid photovoltaic-thermal (PV-T) technology for the combined provision of heating, coolingand power, present the state-of-the-art and outline recentprogress, including by researchers at the Clean Energy Processes (CEP) Laboratory,on aspects from component innovationto system integration,operational strategiesand assessmentsin key applications. Technologies appropriate for integration with PV-T collectors include thermal (hot and cold) and electrical storage, heat-driven heating/cooling (e.g., absorption,adsorption) and/orelectrically-driven heating/cooling (e.g., heat pump, air-conditioning)systems. Thermoeconomic assessments ofPV-Tcollectors integrated within wider solar-energy systems with such technologies inrepresentative applications have been conducted, including for energy provision to residential, commercial and public buildings, and industrial process heating applications. Studies have shown that PV-T technology has an excellent decarbonisation potential and can covera significant amount of the energy demandof end-users given reasonable areas. Further efforts relating to technology innovation and, primarily,cost reduction are required to improve its economiccompetitiveness over conventional fossil-fuel and other alternative solutions. Advanced heat-loss suppression techniques and spectral beam splitting concepts have emergedas promising directions for ground-breaking innovationin this area.