I've accumulated a number of AMVs over the last year or so. Here are my favorites:
Ileia returns with another wonderfully synched action video of the new Evangelion movies. The outro is hilarious!
RadioAkshun (Evangelion rebuilds) = Imagine Dragons - RadioactiveA very cute recap of the Usagi Drop anime with great editing.
Ivy Bridge (Usagi Drop) = Rob Thomas - Little WondersThis one focuses on the Hiro, Miyako and Kei triangle in Ef. I always laugh to the lyric synch at 0:25.
Slave (Ef-A Tale of Memories) = Elize - AutomaticUsing video from The Girl Who Leapt Through Time, Genius Party Beyond and original animation, this is an amazing wordless tale.
Paper Heart (Various) = James Newton Howard - Baby Monitor, Hand of FateAn original bittersweet story crossing Houtarou and Mio. It beautifully blends clips from dozens of shows, edited so smoothly that it could all be from one show.
Our Tapes (Hyouka x K-ON!) = Hurts - DevotionA shiny and explosive action video with lots of video sources.
Demigods (Various) = Blue Stahli - ULTRAnumbFinally, a sweet little Ano Hana AMV.
Hallucination (Ano Hana) = Trading Yesterday - Love Song RequiemOoh! That reminds me, the AkrossCon2012 videos should all be available now.
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*starts downloading**edits* Two more for you now.
First place with six total awards went to the editor Umika, one of the co-creators of Our Tapes (Hyouka x K-ON!) above. Here's her award-winning AMV where she takes Houtarou and Chitanda in a very different direction.
Sincerity (Hyouka and others) = Halou - TodayThe AMV that got the AKROSS award was inspired by Our Tapes, but this one is Houtarou x Erio.
Petal (Hyouka x Denpa Onna) = Ludovico Einaudi - PrimaveraBoth of these have amazing bittersweet original stories.
OK, I'll stop now.