High power accelerators and spallation targets have a history that goes back to the early 1950's. Accelerator-driven neutron spallation sources have operated for years, but broader forays into more industrial applications traditionally handled by reactors started to receive serious funding in the 1990's with the Accelerator Production of Tritium (APT) project. Research for this device, which was never built, led to a series of other ideas, such as Accelerator Transmutation of Waste (ATW), Advanced Accelerator Applications (AAA), and the Advanced Fuel Cycle Initiative (AFCI). This talk will review these programs, and summarize our current impressions of how the concept is viewed by potential funding agencies today.