Lucy Wants New Furniture - S2-E28
Continuity mistake: At the start of the episode, when Lucy puts the baby in the crib there's only one bumper pad and it's on Lucy and Ricky's side of the crib rails, but in the baby's closeup there's a bumper pad at the rails behind him - which is the opposite side of the crib. (00:00:45)
Lucy Wants New Furniture - S2-E28
Continuity mistake: After Lucy mentions the ad for a couch and coffee table, when she walks over to the desk note the shadow and lighting change on the back of the desk. (00:02:10)

Lucy Wants New Furniture - S2-E28
Revealing mistake: When Ricky startles Lucy in the kitchen just as she's getting the salt, she climbs up through the kitchen/living room window, and in the shot from the living room when she and Ricky step down onto the chair, we can see the four long metal brackets which bolt the chair to the floor for safety. (00:13:15)
Lucy Wants New Furniture - S2-E28
Other mistake: When Ricky corners Lucy while she's holding the box of salt, the top and sides of the box have tape hiding its brand name (looks like Diamond), to prevent it from being seen on the air. (00:13:30)
Lucy Wants New Furniture - S2-E28
Continuity mistake: Lucy runs back and forth from Ricardo's and Mertz's apartment through a door in Mertz's living room that is not there in other episodes before or since.
Lucy Wants New Furniture - S2-E28
Deliberate mistake: Lucy and Ethel try and hide the new furniture in the kitchen so Ricky won't find out about it. This in turn forces Lucy to run through the Mertz's apartment to retrieve items from her own kitchen when Ricky wants them. This is supposedly done because the furniture blocks the doorway and is wedged in place thus preventing them from using the door. However it is quite clear that there is a lot of room for the furniture to be pushed into the kitchen and not block the door. They say it is wedged on the sink but there is a lot of room on the other side by the cupboards, along the back wall.
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.
raywest ★
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.