In 2006 I visited the site of the museum on a warm California night.
When Movieland opened in 1962 it was the largest Hollywood movie themed wax museum in the U.S. It even had a footprint plaza ('Starprint Gallery') outside like Grauman's Chinese Theatre, featuring, among others, love from Phyllis Diller. The free standing building in the front, now a Starbucks, was originally a souvenir shop called 'Starlite Gift Shop'.
The wax figures of Movieland were originally made by Henry Alvarez and Katherine Stubergh. For a time the museum was owned by Six Flags who also operated Stars Hall of Fame in Orlando. In 1985 the museum was sold to the owners of the Wax Museum at Fisherman's Wharf in San Francisco, and the quality of the new figures declined dramatically.
The tower sign was the tallest sign in Orange County, and as far as I know the big building on Beach Boulevard is still there.