City General Hospital

 was the Washington, D.C. (TW: Rendition) hospital at which Dr. Vera Juarez repaired what should have been fatal cardiovascular damage to Rex Matheson.

It was also the location of an autopsy on a suicide bomber who had intended to kill Jack Harkness and Esther Drummond at the CIA archives building.

Matheson checked out of City General against medical advice in order to fly to Wales and find what remained of Torchwood. (TW: The New World)