Variable airflow energy efficient HVAC systems can be used to provide for a three duct air supply, a multi-zone air supply, and a two duct air supply. The systems include an air handling unit that defines a cooling circuit portion and an independent heating/bypass circuit portion. The two circuit portions may each have variable air dampers for admitting variable amounts of ambient and return air, and/or the cooling circuit portion and the heating/bypass circuit portion may each have an active cooling element. Corresponding methods are also disclosed.