Advanced Aviation Act This bill directs the Department of Transportation (DOT) to redesignate the Office of NextGen as the Office of Advanced Aviation within the Federal Aviation Administration (FAA). The new office duties include the coordination of rulemaking and approval processes on matters relating to advanced aviation systems (e.g., drones, supersonic aircraft technologies, counter-unmanned aircraft systems). The bill also establishes an Office of Advanced Integration within the Office of Advanced Aviation. Additionally, DOT must establish an Advanced Aviation Coordination Unit within the FAA whose responsibilities shall include the promotion of the safe and responsible integration of advanced aviation systems into the national airspace system. Further, DOT must redesignate the William J. Hughes Technical Center as the William J. Hughes Technical Center for Advanced Aviation. The center must establish and manage a program to evaluate new aviation-related technologies proposed to be used in the national airspace system and facilitate the integration of such technologies into the national airspace system.