I amend my search to "1960s dance the shake," and I get this old TV commercial:
Both Meade and I felt a big nostalgic twinge of recognition at the point where the pyramid-shaped packets of powder are dumped out of the plastic shaker.
And speaking of pyramids, the inventor of the dance the Harlem Shake, Al B says:
It's a drunken shake anyway, it's an alcoholic shake, but it's fantastic, everybody loves it and everybody appreciates it. And it's glowing with glory. And it's respected. But if we could mystify it, and become historian, about this Egyptian jazz... Pharaohs invented this thing, with spears, and hats, and gowns. And so, it becomes a subject of being communicative to the system and to realization. If you get my drift.... It was a drunken dance, you know, from the mummies, in the tombs. That's what the mummies used to do. They was all wrapped up and taped up. So they couldn't really move, all they could do was shake...Yes, but how about the 1960s dance? I see "'Shake!!' - RJ & The Del Guapos - (60's dances)," but the dancers are obviously doing the twist and the pony, so this is not an authoritative depiction. And here's a video with the Sam Cooke song "Shake" — "a new dance that's going around" — but, again, somebody just threw together clips of 60s people dancing a jumble of 60s dances. But I did immensely enjoy the appearance of the word "shake" clipped from the Great Shakes TV commercial!
So... finally, here's The Supremes, singing and dancing "The Shake" on the British TV show "Ready Steady Go" in 1965. That's kind of bad. This is much better, also on "Ready Steady Go." The year is 1966:
BONUS: The Who do a Great Shakes commercial. But those of us who followed The Who back then — I was a member of The Who Fan Club before they released their first album in the U.S. — know that The Who sold out early. It looked like this: