@takashichea: Wow! Is that how behind I am in the anime! I'll see of I can find some 2013 anime for you then.
Arpeggio & Kill La Kill
I deleted Pupa from the spreadsheet since ANN had announced that it was bumped to the winter 2014 season.
Speaking of those series, I haven't encounter any series that aired before 2013 and ended in January 2013. All of them (Fairy Tail, Shin Sekai Yori, Robotics;Notes, Psycho Pass, etc) ended in March.
I'll add the movies and OVAs. I completely forgot about them.
Sadly, Legend of Korra doesn't count. sickVisionz's best of anime 2013 include current anime shows from Japan. No dubbed shows in America are allowed or or American made animations.
However, I could ask @Acura_Max if he is starting a similar project in Screened for western animations.