Watch iiiiiiiiit. Although fair warning, it IS HBO so it does have a lot of nudity, sex, and gore. But it's such a good show.
I've heard that Game of Thrones is comparable to Lord of the Rings in the same way that Batman is like Spiderman. If you're into superhero movies. If you've never seen either it probably won't make much sense
Game of Thrones is darker, more serious, more elaborate, more intricate, and just has a lot more going on. I have only watched the 3rd LotR movie and that Hobbit movie (Part 1) and I don't really like it, but I love GOT.
I do love Harry Potter though, but GOT and HP barely has anything in common. Definitely definitely definitely not a similar feel.