We present 63 new extreme-ultraviolet sources from observations taken during the Right Angle Program (RAP) of the Extreme Ultraviolet Explorer (EUVE). This paper concentrates on data taken in the last years of the RAP, 1999 and 2000, with a sky coverage of 7%. We present sample light curves for several sources, including flare detections from the previously uncataloged source EUVE J0613-23.9B, the active late-type star EUVE J0728-20.9 (V372 Pup), and the cataclysmic variable EUVE J0332-25.9 (VY For). This final RAP catalog, combined with the EUVE all-sky survey, Lampton et al. faint list, and previous RAP catalogs, brings the total number of EUVE sources to nearly 1200.