Shaw x Root
4 evur.
Yes. I can't recommend Person of Interest enough, and I'm going to ramble about it for a second if you don't mind.
The f/f romance isn't even the best thing about it (the characters first meet in late season 2, and the relationship development is slow, subtle and mostly subtext... like all the romance on this show). It's part crime procedural, part sci-fi/cyberpunk, with the sci-fi part slowly becoming more important and basically taking over sometime during season 3. It starts out slow though. Season 1 is pure procedural.
The characters are all complex, badass and morally ambiguous and the writing is fantastic. If it helps, some people have pointed out that you could sum it up as Christopher Nolan's brother making his own version of Batman.
Also worth noting is that it's the first time I've seen the cast and crew of a non-LGBT show being so supportive of their same-sex pairing. Given the show's tone and body count, there's a fair chance that both women will be dead by the time it ends, but the writing team loves them so much that (and I never thought I'd be able to write this) I genuinely believe they'll try to avoid killing off their queer women.