The most important part of this amv is the fact that you didn't oversync it or undersync it. Some may disagree, and could say some parts were slightly too slow: take 3:53 on the yt video for example. In my experience, the only thing it lacks there impact. How you go about creating that is up to you -- you can add some effect, or switch clips, blah blah.
Honestly though, there is not much to critique. My main irks are that it has some very generic transitions and effects, but all you have to do now is go experiment with them, and manipulate them so they don't look so "stocky."
The highlight of this video is how it ends -- by establishing this link with the beginning of the video, it's no longer just some random thing. And though most of the video does appear quite random, I believe this ties it all together magnificently. Now, I've seen the series, so someone who hasn't, this link means nothing to them. That's why I believe a theme or story is very important in an amv. Your amv mostly explores the events of the series, and there's nothing wrong with that, but you'll find that other people enjoy amvs most when there's a sense of consistency and no randomness. However, it all depends on what you believe; I hate videos that are for everyone, and if you haven't seen the series in some cases and then piss on me with critique that just says "I didn't get it, blah blah" then screw it, I really don't care. Go see the anime in that case.
So it doesn't matter too much that people who haven't seen the series don't get it, but when you have people who
have seen it and just think "god that's random," then it matters. At least to me.
Anyhoo, it's a great first video. I just recommend you mess around with the transitions and effects so it's more original, or geared more towards your style, which you'll discover through editing more as well.
Also, I criticize harshly for people who ask for critique, so don't mistake my good critique for you as a "Oh, that person's just nice, they're just saying that." I've given terribly harsh critique to people who have been editing forever, and to those who haven't. What I've said is my honest opinion. Keep it up 