Ricky's Old Girlfriend - S3-E11
Continuity mistake: When Fred tells Ricky there's an article in the newspaper about Carlota Romero, there's a closeup of the newspaper's back page with Carlota's photo, but later when Lucy takes the newspaper (the same NY Gazette issue) from Ethel, before she turns it over we can see that the back page photo and layout are different. (00:08:30 - 00:10:20)
Ricky's Old Girlfriend - S3-E11
Continuity mistake: When Fred shows Ricky the newspaper article about Carlota Romero appearing at the Opal Room, the front page of the paper reads "New York Gazette", but in the closeup of the article on the back page the newspaper is called "The Daily Record." (00:08:35)
Ricky's Old Girlfriend - S3-E11
Continuity mistake: In Lucy's dream, when Carlota Romero comes to their apartment, Little Ricky is sitting in a highchair with a hat on his head. Although later in the scene, you see his hat fall off, the first close-up shot of Little Ricky shows him without the hat. Then immediately, when you see a wide-shot of the scene, his hat is back on his head again.
Answer: According to Snopes.com, there is no definitive answer, but the mid-1960s is the most verifiable date with "The Munsters" being cited as the first, although others claim "The Brady Bunch" showed the first couple seen in a double bed. An early TV show from the late 1940s titled, "Mary Kay and Johnny" is also thought to have shown the married couple's bedroom as having a double bed, although probably not with them in it. However, this was when TV was aired live, and there are no surviving episodes, only anecdotal accounts.
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Something that is funny is that in the movie "A Christmas Story," they show the parents having two twin beds in their bedroom. In a real situation, they should have shown them having a double bed. Lucy and Ricky had twin beds pushed together in an early episode, which would have been pushing television boundaries in that time.