On topic: when I think of "family show" I define it as "something that could appeal to the entire family, kids and adults." And I adjust for era. The Six Million Dollar Man, The Dukes of Hazzard, The Incredible Hulk.... all good for the entire family, would be pegged mostly as kids shows today.
Hmm, somewhat, with provisions. 6M$M started out as a fairly sophisticated science fiction action series in its first season, smart enough to appeal to adults, but it was pressured in subsequent season to dumb itself down to the kid-friendly level that network execs and audiences at the time were prejudiced to expect of science fiction. By contrast,
Hulk was a smart, sophisticated drama on the same level as something like
The Fugitive, managing to resist network pressure to dumb it down for its entire run, but because the "sci-fi is kid stuff" prejudice was so pervasive, it was often presumed to be a mindless kids' show by people who didn't watch it. (I remember getting very miffed at my local newspaper's media critic when he reported
Hulk composer Joe Harnell's Emmy nomination one year by scoffing, "Who listens to the music on
The Incredible Hulk?" Harnell's music, of course, was one of my favorite things about the show.)
Basically, there were three categories of SFTV at the time: shows made for kids; shows that tried to be for adults but got dumbed down for kids at network insistence; and shows that succeeded at being for adults but got stereotyped as kids' shows like the rest. I'd say maybe
The Twilight Zone, both the '60s and '80s versions, may have managed to avoid the kid-stuff stigma, but the whole reason Rod Serling created TZ was because people dismissed it in advance as inconsequential fantasy, allowing him to sneak controversial themes and social commentary under the censors' radar. (There's a pre-premiere interview you can find online where Serling straight-up lies to Dan Rather and claims he's given up entirely on writing TV with meaningful messages and will only be doing fluffy fantasy going forward.)
As for
Dukes, I'd say the only real adult appeal it had was Catherine Bach's really short shorts (a style known as Daisy Dukes to this day in her honor). Other than the pervasive and highly effective fanservice Bach provided (and the moonshine-running themes, and the unfortunate Confederate iconography which was probably meant innocently), the show was a straight-up cartoon that happened to be in live action. Putting it in the same category as
Hulk is kind of like putting
The Fast and the Furious in the same category as a Christopher Nolan movie.
Galactica 1980 was designed for The Family Hour with some educational lesson every 15 minutes, but it was just too stupid for adults.
It was stupid, yeah, and it was designed to be educational and child-friendly -- but I resist the implication that those two things go together. There have been a lot of really smart, clever educational shows that are entertaining for adults too. G80 was stupid because nobody involved with making it actually wanted it to exist (it was created solely at ABC's demand to amortize the cost of the original show's costumes, props, sets, and VFX, and to add more episodes to the syndication package in hopes of recouping some of their loss), so they didn't put any care or effort into making it good.
I mean, if you think about it, the idea of an educational show that isn't intelligent is a contradiction in terms, isn't it?