The Flintstones, ABC (reruns on Boomerang)
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This is perhaps the most classic animated series ever. It's been compared to The Honeymooners, which has itself inspired tons of other stuff, but the Flintstones has also inspired many shows and parodies and such. (Some might compare The Simpsons to the Flintstones.) It's probably most closely related to "The Jetsons," however, which is another classic animated series (whereas "The Flintstones" is set in the prehistoric past, "The Jetsons" is set in the distant future). There were also a number of spin-offs of The Flintstones, most of which I'm unfamiliar with, though I'm at least slightly familiar with one where Pebbles and Bamm-Bamm are teenagers... but I'm getting ahead of myself.
"The Flintstones," as I said, is set in the prehistoric past, the time of cave men. The main characters are Fred and Wilma Flintstone, who have a baby daughter named Pebbles. They also have friends named Barney and Wilma Rubble, who have a son named Bamm-Bamm. Oh, and the Flintstones also have a pet dinosaur named Dino (pronounced Deeno). In spite of being set in the ancient past, the characters lived a fairly modern existence (from a 1960s perspective), using animals and rocks and things to serve as all the sorts of things people in the 60s were familiar with. So, of course, the stories were all pretty much like situations you might see in any live-action sitcom of the 60s, even if much of the humor came from prehistoric sight gags and wordplay. Basically, it was just about a family and friends and the ridiculous situations they got into.
I really don't know what else to say, except that it's just a hugely pervasive part of pop culture, and even the theme song is quite iconic. I can't say I think all that highly of the show in the sort of terms by which I'd judge something made in the present, but still... for the time it was made, it was awesome, and it has a sort of timeless, enduring quality about it, somehow.... Oh, there was also a live-action movie based on the show, in 1994, which I don't think I ever saw all of, and probably don't care much about. But maybe someday I'll watch it....