I'm watching Doctor Who all out of sequence, which I suppose is acceptable given the time travelling aspects.
I started with the Eleventh Doctor. Once his run finished up, I jumped back to Ninth. Now I'm watching Tenth and Twelveth at the same time.
Other shows though, like if it were very dramatic or complicated or serialized... backwards or out of order probably not a good bet to go
(Not a TV show, but watching Star Wars as IV-V-I-II-III-VI is pretty good btw)
Topic seems to be TV shows, so... I've only really gotten into this recently. Last summer I watched Arrested Development and Firefly and now I'm more into "normal" shows. I'd mostly just watch late night TV, food shows, and intelligent current affairs shows until recently. Some cartoons, sitcoms, and reality shows sprinkled about too.
Actually, what am I saying. At least a couple of years now I've been watching Person of Interest. haha
Doctor Who, Person of Interest, and The Blacklist are what I faithfully watch at the moment. I checked out True Detective, House of Cards, and Sherlock earlier this year. Throughly enjoyed all of them. Sherlock in particular.