My honorable mention is going at the top, because it's the best anime released this year. It's just not on DVD or Blu-Ray yet.
Wolf Children
I saw this in theaters, and it's now my favorite anime movie of all-time, right alongside Millennium Actress. The confidence and simplicity with which Hosoda tells his story of a mother and her children blows pretty much everything else today out of the water. Though it works in universal and well-trafficked themes, Wolf Children refuses to condescend to its audience. It's a really perfect family movie, and it establishes Hosoda as one of the greatest anime directors to work in the medium. It's too bad I can't put it at number 1 until next year.
Now, for the list proper.
1. Fate/Zero
What an incredible ride. I could recommend this series to almost anyone. Its no-holds-barred deathmatch between superpowered historical icons is an easy sell even to lapsed anime fans. It uses the most interesting ideas in the Type-Moon universe, while deftly avoiding most of its nonsense metaphysics or weak, childish characters. The stakes are appropriately high, and the show doesn't hold its most powerful emotional punches. Ufotable delivers multiple high points in this series that any other show would be envious of. Despite a slightly rushed climax, it's the show I'll always remember from this year.
2. Tsuritama
At first, I thought this show would be overshadowed by Watanabe's Kids on the Slope. Despite a pastel aesthetic and a lovable kazoo soundtrack, Haru's antics in the early going had me on the verge of dropping this series. I'm glad I didn't. While KotS rapidly lost steam as it rushed towards its conclusion, Tsuritama got better and better as it went on. It's exhilarating to watch this cast of fishers grow up and learn to pursue their dreams and believe in their friends, and it builds towards the most white-knuckle fishing climax that you'll ever see.
3. Girls und Panzer
I almost passed this show by completely. As ridiculous as the premise sounded, I didn't believe that a show about high-school girls competing with tanks could live up to its potential without being sullied by poor direction or needless fanservice. I couldn't be happier I gave this show a chance. The world of Girls und Panzer pops with absurdity; a place where bloodless tank battles are celebrated as a display of feminine virtue; and schools, along with entire towns, are carried across the oceans on gigantic aircraft carriers. Yet the show treats its idiosyncratic premise with a light touch and a pure heart. It's a classic underdog sports story, its tank matches are tense and exciting, and its a pleasant world to be in. I can't get enough of it, and I look forward to its conclusion.
4. Hyouka
These days, Kyoto Animation is known for bringing incredible production values to various high-school stories about close-knit groups of girls and guys. Hyouka shows KyoAni working at its absolute best on a story about mundane mysteries and the gradual maturation of its bunch of student protagonists. The show's sedate pacing may turn off some, but for its adherents (such as myself), it's a master class in direction and animation. Everyone is brought to life thanks to an attention to detail that few other studios could match even if they had the time or budget. I was drawn into the lives of the members of the Classics Club, and by the end, they were well-rounded in ways that few shows can rival.
5. Jojo's Bizarre Adventure
It hearkens to a time where men were men, women were beautiful, and everyone said everything they were thinking out loud. Jojo's Bizarre Adventure may not have much animation, but every moment exudes love thanks to an all-star voice cast, pitch-perfect openings and endings, and an explosion of hot-blooded sincerity in every moment. Phantom Blood was an incredible experience, and so far Battle Tendency has one-upped it in almost every way. Few shows are as cheesy, or as exciting.
6. Shin Sekai Yori
This blend of science fiction, horror, and Shinto-tinged mysticism has its low points, but it's got a fantastic soundtrack, and it takes its premise of "Mankind with psychic powers" in a direction you've probably never imagined. I love the care and patience they take laying out their world. Even in moments of exposition, they let us see and experience events, instead of bludgeoning us with words. And its art exhibits incredible imagination when called upon. It's a rare show where I feel confident that the ending will deliver on its promise to this point.
7. Jinrui ha Suitai Shimashita
A light-hearted black comedy about the last days of humanity and the rise of a race of fun-loving faeries. I enjoyed the show's whimsy even at its lowest moments, and its highest points were some of the best satire that anime can produce. Watashi is a truly unique protagonist; she's charming, intelligent, and determined to avoid any responsibility for her mistakes.
8. Wasurenagumo
This short from Anime Mirai 2012 was a dark and delightful modern piece of Japanese mythology. Its little spider girl even had me charmed by the end, and only something of this length could pull such a devious ending.
9. Space Brothers
Namba Mutta is a fantastic protagonist. He's funny and intelligent, but more importantly, I found it easy to relate to how self-conscious and insecure he is. He's a great narrator for the show. Space Brothers moves extremely slowly (which is why it's so far down this list), but every member of its cast is someone you grow to love and root for.
10. Chuunibyou demo Koi ga Shitai
Its ending was poorly paced and chose easy melodrama and a patronizingly simple message over a more complex, interesting path, but for most of its run, this was a delightful show to watch. Rikka's gradual development alongside Yuuta was handled deftly, and I enjoyed how KyoAni dabbled in ridiculous over-the-top tropes for humor.