I don't watch many TV shows anymore. I was tragically indiscriminate in my childhood, however, as I imagine many of us were. If it was on in the 1970s, I watched it. And that included all the 1950s/60s shows in reruns. It's embarrassing, in retrospect, how much crap I sat through.
In the 1980s and 90s I watched Cheers, Seinfeld, Frasier, The Larry Sanders Show, The Simpsons, Letterman. About 10 years after it was cancelled I got caught up on Homicide: Life on the Street on DVD (great show, so underrated).
From this century it's Sopranos, Mad Men, True Detective (first season only) and not much else. If I do ever watch a TV show again, it'll be via DVD. One show I've had my eye on is the British series Black Mirror, which sounds like an updated version of The Twilight Zone. If my local library ever gets those DVDs in, I'll give it a try. About all I watch on actual TV is baseball, news, nature shows, and the occasional episode of SNL.
Speaking of library DVDs, I just borrowed the 1967 Russian film adaption of War and Peace. Over 7 hours long! It'll take me a few nights to get through it...