Used to watch it about dinner time. Our local UHF station ran reruns for a while, then switched to another old show. We watched it in the mid 70's and were JWs at the time. I remember my dad liking it and taking us to see the first movie too.
I'm not a big enough fan (geek) to know episode names by heart. I liked the ones where the Enterprise crew went back into our time because I thought it was cool them having all this technology in our time. And likewise, the Star Trek movie where they went back in time to get a humpback whale was my favorite as well.
I used to be all about the original series. Never got into Next Generation, I forget the space station one (Deep Space 9?), Voyager, or the latest Enterprise series. But I did like the "reboot" movie a couple of years ago and hope they continue.
But I've gotta say, I've been watching the new series (Next Generation) on NetFlix and it's winning me over. I started watching season 3, then decided I should start from the beginning. So far, the first season's kinda iffy. It suffers from some of the same stuff where you're going "Really?" As things get absurd. Like Q. And some things look so fake. And you conveniently have the holo-deck to allow the writers to indulge in any story-telling setting. So far, season 3 seems to have gotten better. More believable.
In general, I see it as a bit ahead of it's time. You see them touching screens like many of us do with iPhones and this was 25 years ago. Watching the blinking lights they called computers back in the old days is just getting kind of hard to watch. The old Star Trek is classic, but so much more dated. Next Generation seems to hold up better, but probably will look just as dated one day.