The roof of the Universal Amphitheatre was installed earlier than I thought it had been:
The roof was added to the Universal Amphitheatre in 1982. The venue closed in 1980 for a major two-year renovation following noise complaints from nearby residents and to enable year-round indoor concerts. The venue first opened in 1972 as an open-air venue with Jesus Christ Superstar.
Universal Amphitheatre (1972-2005).
Gibson Amphitheatre (2005-13).
Remodeled and converted into an indoor theatre in 1982.
Demolished on September 25, 2013.
Before the roof was added I recall seeing The Doobie Brothers and Cher. Afterwards...I missed Frank Sinatra, but recall seeing Rick Springfield, Harry Connick, Jr., Diana Ross, Erasure...?
TheStudioTour
Caption: Concert in the still-outdoor Amphitheatre (from Inside Universal Studios, 1976).
The Studio Tour link has a few other selected photos, including of the demolition.