The discovery of a class of AGN with clearly distinguishable soft X-ray components below 0.5 keV is reported. These AGN were detected through equivalent hydrogen column densities that are less than a few times 10 exp 20/sq cm. At least three kinds of AGN comprise this sample: low-redshift quasars and Seyfert galaxies that have only ultrasoft emission (these objects lack detectable hard X-ray emission); AGN that have both ultrasoft as well as hard X-ray components; and high-redshift quasars whose soft emission may originate, as proposed for the lensed quasar 0957 + 561, in an extended source or, alternately, in a source that is luminosity-enhanced due to relativistic beaming.