Seriously, I have so many favorites, but I've narrowed it down to a few. If you like these shows, then you'll love these books (or vice versa).
So for this, I'm recommending Cinder.
Cinder is a cyborg (not a Cyberman- calm down, Whovians) and is disgraced because of it. There's also a war brewing between Earth and the inhabitants of the moon (Lunars). Oh, and there are androids (though, no robot dog... yet).
So for you, I recommend The Unbecoming of Mara Dyer. There are plenty of supernatural elements to keep you flipping the pages, a kick-butt narrator (seriously, Mara could hold her own with Bobby and the gang), and a GORGEOUS guy (hello, Noah Shaw).
The West Wing
This one is admittedly harder. It's not exactly easy to find a YA government drama, at least not one set in this world.
That is why I'm choosing Girl of Fire and Thorns for this show. It features Elisa, a princess who has recently come been engaged to a king. Throughout the series she tries to be a fair and just ruler, struggling with big issues and also, well, fighting a war. Maybe this is a bit of stretch from The West Wing, but just trust me, ok? ;)
Meet Jasper Dent, our leading lad in I Hunt Killers. He's the son of a serial killer who has started hunting serial killers, even though he's not certain he's not one himself. Basically, this is a solid fit for Sherlock fans.