I didn't watch much (I never do, but still) but here's my small list:
Sword Art Online - I like the first half better than the second half (It got kinda weird but I went with it).
My Little Monster (Tonari no Kaibutsu-kun) - PISSED this just kinda ended after 13 episodes, I was so into it.
Chihayafuru - the Back Half was in 2o12 so it counts. If you haven't seen it, go watch it RIGHT NOW. I'm so fucking excited for the second season.
Say "I love you" - I enjoyed it, though I know most people would probably find it boring.
Kamisama Hajimemashita - I almost didn't watch it because it looked like an Inuyasha rip off and omg the theme song is annoying, but it's cute.
Blue Exorcist - came out in 2011 but I did not watch it till 2012
There that's my list. I am so picky about anime anymore lol. I heard Mawaru Penguindrum was really really good so I'm looking into that one next.