1. Gin no Saji (A-1 Pictures)
2. Uchoten Kazoku (P.A. Works)
3. Watashi ga Motenai no wa dō Kangaetemo Omaera ga Warui! (Silver Link)
A drama story coating itself as a black-comedy. Either you'll love the lead character or you'll hate her for being a pain in the ass. But this anime shows us perfectly the realities of a person with serious psychological problems. The funny side is only a front, but in my opinion there is nothing more heartbreaking than Tomoko and her lonely plight.
4. Blood Lad (Brain's Base)
I've never been into anime's with fat breasted female characters, but Blood Lad is undeniably awesome in all proportions and never boring, not even once. You'll end up liking every single characters -- the bad guys and the extras are no exemptions. Kudo's to Brain's Base for a magnificent job on the animation.
5. Servant x Service (A-1 Pictures)
It is refreshing to watch an anime about working-class adults - and their problems. But let's be honest here, I love Servant x Service best when the story focuses on the pairing between Hasebe and Lucy. After all, I'm still a sucker for good love stories.
6. Hakkenden: Touhou Hakken Ibun 2nd Season (Studio Deen)
One of the most ignored anime's today, with some viewers disregarding its many good qualities. I've seen the first season and given that the pacing of the story was rather slow, but once it got to episode 12 all the way to season 2 Hakkenden became an interesting adventure piece and has consistently produce one of the most interesting mysteries that grabs you by the neck week-after-week. Very well drawn characters and backgrounds, never had a single fluke since season 1, and it will probably be a strong contender for best animation on my 2013 roundup.
And the other half of this list (from number 7 to number 12):
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