Beverly Hillbillies, by far.
Anyone that mocks the whole list doesn't know TV comedy.
Even today, Jethro's dumb as dirt hick is as funny as it was in 1962.
Quite a few of the shows listed were groundbreaking.
The first three years of Happy Days are an excellent look at life in 1950s middle-america, before the Fonz takes over and ruins the show.
The Brady Bunch was watched by more kids then any other TV sitcom, and it still includes moral family values of right and wrong that are sadly lacking in modern television, like telling the truth, owning up to mistakes, accepting punishment and responscibility for doing the wrong thing, ect.
Andy Griffith, Leave it to Beaver, father knows best and Hazel are all examples of the sterile perfect world people longed for in the 50s and early 60s, that was far removed from reality.
I Love Lucy was THE most groundbreaking show in television history, it introduced new concepts, methods, and is still classic.
Gilligan may be the dumbest show ever made, yet I watched EVERY episode at least 50 times when I was a kid, that tells you something about it right there.
Mindless and silly, yet simple and fun.
And proof you don't need a million sex jokes and foul langauge to make people laugh.