I think if we grew up now we'd generally be watching Disney, Nickelodeon, Cartoon Network and so on. We wouldn't be seeing King Kong, Star Trek, Hammer horror movies, I Love Lucy and whatever else was on during the off hours. And we didn't have infomercials. Plus, the way channels work now I don't think anyone but Cartoon Network could show old Bugs Bunny/Hanna Barbera stuff. Only Disney would show Mickey Mouse and the Mouseketeers and so on. So if those channels aren't showing it no one else can even if they were willing.
Back in the big-3, UHF, early cable days channels there was more of a hodge-podge of programming whereas now you have to actually turn on the "old stuff" channels to see that kind of thing. And why show old programs and movies when there's the total output of the 80s, 90s, 00s, and 10s to cherry pick from?