If we're going to move past this last year, I have to throw this one out there. Another Vienna Teng (she's probably my favorite artist), but this one moved me to tears when I saw it live, and if it catches me in the right mood will occasionally do so from a recording:
http://www.youtube.com/watch?v=rikj0WMGbDU
This came out last year, but I played it on repeat a few dozen times in a row the first time I heard it. I'm a total and complete sucker for upbeat songs about depressing topics:
http://www.youtube.com/watch?v=lPOM0IUsd_0
If you're a fan of that "genre", this one is probably my favorite (to just throw a random song out there, I wouldn't put this in my top 16):
http://www.youtube.com/watch?v=J3weE4Kq7kY
Getting back on track to somewhat new stuff, this is one from 2011. I love love love Architecture in Helsinki's first two albums, but the third was a dud. The fourth, fortunately, was a lot better:
http://www.youtube.com/watch?v=IxjcszKEcHE
Another 2011 release, who doesn't love weird-ass songs by CAKE?
http://www.youtube.com/watch?v=aCOVyVxC_QM
This is a 2013 release (I'm really bad at remembering/knowing when things came out, I've had to look all of these up) and I'm honestly pretty surprised it hasn't been mentioned here before, but I've been seriously digging Lucius since my soon-to-be father-in-law put them on during halftime of a bowl game:
http://www.youtube.com/watch?v=dgoXeWUlnnk
I don't know when this one came out, but I love this poem, I love folk-y songs, and so Sarah Jarosz's version of Annabelle Lee is one of my favorites:
http://www.youtube.com/watch?v=QK_kS_D2PHo
I'll stop there...