Leaving aside the anime season for the month of April.
In the image below, click to see the complete organized list of anime, OVAs, and movies, followed by trailers for some of the anime we've selected for you to check out.
Dragon Ball Z: Battle of Gods
Pray no Imouto ga Konna ni Kawaii Wake ga Nai.
Shingeki no Kyojin
To Aru Kagaku no Railgun S
Suisei no Galgantia