Shin Seiki Den Mars

Mars is discovered on a forming volcano island, Heisei; a man with no memory. In reality, Mars is from outer space, and is supposed to gather information to decide whether Earth should be destroyed or not. Along with the giant robot Gaia, and his mysterious images of a woman urging him not to destroy the world, Mars decides to fight for Earth rather than destroy it, even if it means fighting his own kind. But if Mars is killed, Gaia will explode, destroying Earth along with it. (Source: Anime News Network)

RahXephon

In the year 2012 Japan was invaded by the Mu. Human-like beings from another dimension with blue blood. In the year 2015 Tokyo is attacked by invaders, who are repelled by a humanoid weapon called a Dolem. During the chaos, Ayato Kamina meets Reika Mishima, a classmate. During that same day, he is attacked by government officials but a woman named Haruka comes to his rescue, informing him that she was sent to get him by the Organization TERRA, and that Tokyo had been sealed in a time rift where time flows one third as fast as the outside world. He flees from Haruka onto a train where he sees Reika once more. Arriving at the Room of Rah, he follows her to a tremendous egg where the Dolem RahXephon is hatched from, and upon her singing his mother appears atop the Dolem that had stopped the TERRA Invasion. In the battle Ayato's mother is injured, and Ayato flees Tokyo Jupiter with Haruka upon seeing his mother's blue blood.

Neon Genesis Evangelion

In the year 2015, the Angels, huge, tremendously powerful, alien war machines, appear in Tokyo for the second time. The only hope for Mankind's survival lies in the Evangelion, a humanoid fighting machine developed by NERV, a special United Nations agency. Capable of withstanding anything the Angels can dish out, the Evangelion's one drawback lies in the limited number of people able to pilot them. Only a handful of teenagers, all born fourteen years ago, nine months after the Angels first appeared, are able to interface with the Evangelion. One such teenager is Shinji Ikari, whose father heads the NERV team that developed and maintains the Evangelion. Thrust into a maelstrom of battle and events that he does not understand, Shinji is forced to plumb the depths of his own inner resources for the courage and strength to not only fight, but to survive, or risk losing everything. (Source: AniDB) Note: Later releases include edited versions of Episodes 21-24 called the "Director's Cut" with some visual editing and adding extra scenes that appeared in the theatrical recap 'Death'.</i>

Argento Soma

In the year 2059, the earth has been plagued by aliens for several years. In an effort to learn more about these aliens, Dr. Noguchi and his assistants Maki Agata and Takuto Kenishiro try to revive the professor's experiment, a large Bio-Mechanical alien named Frank. During this process the alien comes to 'life' and the lab is subsequently destroyed leaving Takuto the only survivor and the alien disappearing into the wilderness. While Frank roams the wilderness he meets Hattie, an emotionally distressed young girl whose parents are killed in the first 'close encounter' war. Oddly enough she is able to communicate with Frank and soon after they are taken into custody by a secret agency known only as 'Funeral'. Meanwhile, Takuto wakes up in a hospital bed with his life in shambles, and his face disfigured. Motivated by vengeance and heart break, Takuto accepts an offer from the mysterious 'Mr. X' and receives a new identity as a ranking Funeral officer named Ryu Soma. (Source: Anime News Network)

Lagrange: The Flower of Rin-ne

Madoka Kyouno is an energetic girl who is full of passion. As the proud, and only, member of the Kamogawa Girls' High School Jersey Club, she goes around helping people in need. Madoka's life is turned upside down when she is suddenly asked by a mysterious girl named Lan to pilot a robot. Motivated by her desire to protect the people and city of Kamogawa, Madoka agrees to pilot the resurrected Vox robot to fight against extraterrestrials that have come to attack Earth. (Source: VIZ Media)