I am wondering: If they brought back TV shows like Punky Brewster back, would you see it? I mean, brought back the old stuff and tweak it with modern stuff like internet and satellite TV, would you see it or not?

I doubt I would watch a modern Punky Brewster (my kids might) but I would probably still watch many shows that were modernized:

Golden Girls (can see Blanche internet dating)
Different Strokes
Facts of Life
Bewitched
Good Times
3's Company