Fair Use Disclaimer
Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use. The Evangelion films and brand name belong to Studio Khara and their respective copyright holders.
Having visited my share of Anime conventions I was often off put, but at the same time somewhat fascinated, by their AMV or "Anime Music Video" screenings. While the large majority of these edits seem to be scored by Linkin Park in a cringe worthy attempt to use Microsoft Movie Maker by ostracized teenagers, there are the occasional gems. Something about re-editing one's favorite artist's cinematic creations was off putting at first. It felt like one would ruin the magic in an almost unhonerable fashion, but I grew interested and soon relized that one could express one's own interpretation and editing skills of the work through remixing.