The Beverly Hillbillies ran from Sept., 1962 until March, 1971. They spun off Petticoat Junction which ran from Sept., 1963 until April, 1970. PJ spun off Green Acres which ran from Sept., 1965 until April, 1971. IMO, Beverly Hillbilliies (the original) was the best of those three and even though Donna Douglas, Elly May was smoking hot, the girls of Petticoat Junction tipped the scales in huge fashion. So PJ would be one of my favorite spinoffs.
The Jefferson's was a spinoff from All in the Family. AitF was great and they touched on a lot of the politics of the day and did so very well by presenting both sides of the particular issues, i.e. the Vietnam war debates that Archie and Meathead would have. Incidentally, Meathead is still the flaming liberal piece of trash he portrayed on AitF. But the spinnoff, The Jeffereson's was incredible. They weren't "as" politically based as was AitF but still touched on several such as the inter-racial marriage issue that was very big at that time and the black/white issues that were, and still are in some places today. This spinoff was also one of my favorites.