In no particular order-
Lost
Breaking Bad
Better Call Saul
My 3 favorite shows. Lost totally f*cks up at random points as far as continuinity/answering questions but there was so much going on that kept me drawn in. I‘ve watched it 3x all the way through, for the most part and love it more each time. If I could live anywhere in the world, it’d be the island.
Breaking Bad took me a good 4-6 times of watching the first couple episodes before I really got into it. It doesn’t grab you immediately but once the show really starts (basically when Walt and Jesse meet) it sucks you right in. It’s interesting hearing people talk about it and Walter White now, because when it was airing it was “He’s the bad guy you grow attached to” and now it seems people are going with the “he was vile and had everything coming to him” and Better Call Saul isn’t very different.
The writing and acting in both those shows is top notch. There’s only one episode of BB that I felt was filler (The Fly episode) and I actually had the same issue starting Better Call Saul as I did BB. Once you get to know the characters a bit, especially Saul, it’s hard not to love the show. I’m often on the fence about shows that take 4-5 episodes to ‘get it’, but even those early episodes take on a different meaning once you know more about the characters.