I actually did re-watch quite a bit of Star Trek: TNG a year or so ago, but it was definitely the exception to the rule.
In general, the “original” television offerings of Netflix and Amazon and the like are incredibly good these days, and in my opinion put the older shows I grew up with to shame. They’re more willing to go to unexpected places, use honest-to-god interesting cinematography, and attract people at the top of their game to the projects. I’ve started to think of things like three camera sitcoms and even regular drama or action shows that resolve themselves every episode as almost quaint relics of the past, like the circus or jesters or vaudeville shows.
But I’ve noticed an interesting phenomenon: as television has gotten so much better and there is so much more of it, I’m actually watching a lot less than I used to. Part of it I think is coming to terms with the fact that there are probably dozens of really great shows right now that exist and are exactly what I like, but even if I tried I’d only be able to watch a small fraction of them. I guess I’ve just come to terms with the fact that I’m gonna miss 90% of some truly great stuff, and don’t feel the pressure to avoid “missing out”. Sometimes I’ll read about something and the timing works out and I’ll give it a shot and stick with it (e.g. Amazon’s “Patriot” right now). But sometimes not, and I’m filling more time with other endeavors (bike riding, learning the piano, basically getting in my fill of mid-life crisis!).