Girls und Panzer

You may have heard of kung fu, but the girls at Oarai High School practice gun-fu—really, really BIG 75mm gun-fu, in fact. It's called Sensha-do, and it's the martial art of operating armored tanks! They take it seriously too, and since winning the national Sensha-do championship is such a huge deal at Oarai, they sometimes go to extreme ends in order to get the best students from Panzer class to sign up. Which is how Miho Nishizumi, who HATES operating tanks, gets drafted to join doomsday-driven driver Mako, even-triggered gunner Hana, highly receptive radio operator Saori and combustible tank-fangirl and loader Yukari as the incomparable Anko Team. They may not be on the half-track to fame and fortune, and maybe a few of them would rather shop for tank tops than become tops in tanks, but once their focus is locked and loaded, they're absolutely driven. (Source: Sentai Filmworks)

Attack on Titan

Several hundred years ago, humans were nearly exterminated by titans. Titans are typically several stories tall, seem to have no intelligence, devour human beings and, worst of all, seem to do it for the pleasure rather than as a food source. A small percentage of humanity survived by walling themselves in a city protected by extremely high walls, even taller than the biggest of titans. Flash forward to the present and the city has not seen a titan in over 100 years. Teenage boy Eren and his foster sister Mikasa witness something horrific as the city walls are destroyed by a colossal titan that appears out of thin air. As the smaller titans flood the city, the two kids watch in horror as their mother is eaten alive. Eren vows that he will murder every single titan and take revenge for all of mankind. (Source: MangaHelpers)

Gurren Lagann

In a far away future, mankind lives underground in huge caves, unknowing of a world above with a sky and stars. In the small village of Jiha, Simon, a shy boy who works as a digger discovers a strange glowing object during excavation. The enterprising Kamina, a young man with a pair of rakish sunglasses and the passion of a firey sun, befriends Simon and forms a small band of brothers, the Gurren Brigade, to escape the village and break through the ceiling of the cave to reach the surface, which few believe exist. The village elder won't hear of such foolishness and punishes the Brigade. However, when disaster strikes from the world above and the entire village is in jeopardy, it's up to Simon, Kamina, a girl with a big gun named Yoko, and the small yet sturdy robot, Lagann, to save the day. The new friends journey to the world above and find that the surface is a harsh battlefield, and it's up to them to fight back against the rampaging Beastmen to turn the tide in the humans' favor! Pierce the heavens, Gurren Lagann!

Xenosaga: The Animation

The year is T.C. 4767. Four thousand years have passed since humanity abandoned its birthplace, the planet Earth. Beset by the hostile alien Gnosis, mankind is now scrambling to find ways to defeat this threat to their existence. The development of KOS-MOS (a specialized android with amazing capabilities) by Vector engineer Shion Uzuki was one response to the threat. But when their ship is destroyed by the Gnosis, Shion and her companions find themselves thrust into the middle of a battle with no clear sides... (Source: Anime-Planet)