I haven't seen GoT but I certainly plan to. Hopefully before the new season starts. Although I haven't really seen many compelling reasons for what makes it so good. Characters dying by the truckload isn't inherently a good thing, but it's kind of the only thing I ever hear/read about.
As for the The Wire - the idea of something being Objectively The Best doesn't actually exist, but The Wire is as close as a series has come to convince me otherwise. For anyone arguing over what is and isn't "deep" (whatever that means; please define), watch The Wire. Anyone who watches that show and doesn't come out of it with their outlook on politics and poverty changed even slightly then they're asleep or without a brain. If that's not enough, it's a fine, fine drama to boot. Some of the most tragic scenarios and heartbreaking moments I've ever seen.
Box, if you enjoy Breaking Bad you might also dig The Shield. Seven 13-ep seasons, ran from 2003-2009, and might have been every bit as good in a lot of the same ways Breaking Bad was. It is a serialized police procedural, though, so the flow of the show is much different. The finale, IMO, is the greatest thing ever produced for TV.