3 simultaneous. Just for kicks, I tested mine with all 3 going at once from recordings, and I think a couple of recordings too. It's pretty impressive for the Premiere, which is generally a performance dog.
Premiere XL4 Lifetime 3/26/13 XFinity
2 TiVo Mini's on Ethernet
80 HR Series 2 Lifetime 4/11/04 DEAD as of 11/2010