Since pretty much everything's already had at least one episode, I'll do some quick impressions:
Psycho-Pass - Tries to hard to be dark and edgy, which makes it a bit ridiculous. Promising, at least, so there's plenty of reason to give it another episode or two.
Btooom! - Did you like Gantz? Then this is your "all humans are unlikable scum" series to watch.
Jojo's Bizarre Adventure - 80's magnificence, a must watch for anime that claims to be an anime fan.
K - Lots of style, substance is a bit limited. Very nice animation and art, but there's a girl who is also a cat and she doesn't wear an clothes, so keep that in mind before you start watching.
Kamisama Kiss - It's Akitarou Daichi, which means it's just about a must-watch for me. That aside, it's a nice shojo series.
Girls und Panzer - Look, you know what you're going to get from the outset.
Ixion Saga DT - Our "hero" defeats one of the main villains in the first episode by kicking him directly in the junk with these crazy spiked shoes. That appears to be the show in a nutshell, and I'm okay with that.
Jormungand: Perfect Order - More of what was great about the first season, although the first episode forgoes action for a bit of building up to something bigger than what was in season 1.
Magi - Medieval Middle-Eastern fantasy, which is a nice change from the standard European-esque fair that most fantasy goes for. The adventure side is fun and looks promising, but it's held back a bit by some bizarre humor and SD character moments that feel really out of place.
Blast of Tempest - Too little information in the first half and too much in the second half. Lots of supernatural doings and one very nice action sequence. It's worth checking out.
Overall, this is shaping up to be a really good season with a ton of variety. We've even got multiple shows that aren't about kids in high school!
Still need to watch the first episodes for Code:Breaker and Robotics;Notes.
