This is one of the best animes in my opinion and this trailer is hard to find. Unfortunately I had to reformat my computer and therefore it seems like IPFS has lost this video. Therefore I am going to upload this back onto IPFS and pin it personally, to make sure that it's always got a source to go on.
Synopsis
In the year 2015, the world stands on the brink of destruction. Humanity's last hope lies in the hands of Nerv, a special agency under the United Nations, and their Evangelions, giant machines capable of defeating the Angels who herald Earth's ruin. Gendou Ikari, head of the organization, seeks compatible pilots who can synchronize with the Evangelions and realize their true potential. Aiding in this defensive endeavor are talented personnel Misato Katsuragi, Head of Tactical Operations, and Ritsuko Akagi, Chief Scientist.
Face to face with his father for the first time in years, 14-year-old Shinji Ikari's average life is irreversibly changed when he is whisked away into the depths of Nerv, and into a harrowing new destiny—he must become the pilot of Evangelion Unit-01 with the fate of mankind on his shoulders.
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One of the best quotes in this anime stems from the Neon Genesis Evangelion Movie, Death and rebirth;
"The time has come, humanity must evolve and shape this brave new world." This resonates very well with me.