In 1950 it was common to have the TV in the windows of shop, turned on and its sound transmitted outside the shop via speakers. Not a lot of TV's were in homes and it was not uncommon to see crowds packed in front of TV stores watching Uncle Miltie and other popular shows at the time.
"Champagne for Caesar" was made at the time that games shows were becoming very popular on TV - especially quiz shows. Some grew to be huge money shows, such as "The $64,000 Question." But in 1959, the bubble burst on the quiz shows when it was revealed that several of the popular shows were rigged. "Twenty-One" was the first show to have its fix revealed. After that, the popularity of the money quiz shows dropped and they were all canceled.
One scene shows a list of the popular TV shows of the period. But, at least some of the titles are word plays. For instance, Martin Swyrl would be Milton Berle in real life. And the Joe Penny Show is a word play for The Jack Benny Show. Some of the rest may be word plays of other types, but are harder to pin down. Stop the Bell could be in place of Stop the Music that ran from 1949-52.