Here's a list of favorites I made a year or two ago. The links are to the pages at
AMV.org, not YouTube — the files are bigger, but the quality is better.
The Wizard of Ozaka: Various/
Chicken Run soundtrack -- Osaka as Dorothy. You can probably guess who the Tin Man is.
Football!!:
Azumanga Daioh (mainly)/StrongBad
Still Preoccupied with 1985:
Azumanga Daioh/Bowling for Soup --
Azumanga Daioh is a peculiarly fruitful source of footage for AMVs, including a disproportionate number of the best.
Moondance:
Sailor Moon/Nightwish.
Caffeine Encomium:
Kodocha/Rossini -- By the legendary Kevin Caldwell. Possibly the oldest AMV I've found, and still one of the best.
We Want You!: Various/The Village People -- With the right imagery and a lot of silliness, even disco can be tolerable.
The Chibi Things (That Kill): Various/Bush --
Kawaii = kowai.
Untitled Zero One:
The Animatrix/Fatboy Slim -- A curiosity: repetitious dance music matched with monotonously repeated video snippets. Astonishingly, it bears watching.
Failed Experiments in Video Editing:
Cowboy Bebop/various -- Anyone can make an AMV, right?
Shameless Rock Video:
FLCL/Deep Purple -- There are thousands of FLCL videos, but this is the only one I like. The Deep Purple song has something to do with it.
Guts, Prince of Denmark:
Berserk/Arnold Schwartzenegger -- Blood, Guts and really bad acting.
Euphoria:
RahXephon/Frou Frou -- Skip
RahXephon and watch this instead. It doesn't make a whole lot of sense, either, but it's only four minutes long, and the editing and effects are nice.
Do It Right (Shake It): Various/Ray Charles and the Blues Brothers
Disney in (D)wchang Minor:
Naruto/
Aladdin soundtrack .
Image Diabolique:
Evangelion/Judas Priest -- One bad,
bad trip.
'Cause I'm a Blonde: Various/Julie Brown
The Star Man:
Nurse Witch Komugi/KKInsomniac -- A bit fan service-y, but sheer niftiness redeems it.
My Fair ... Lady?: Various/Rex Harrison -- A gimmicky concept (is it a boy or a girl?), but the song, "Hymn to Him," is a childhood favorite.
Intro City: Various/U2 -- Another gimmick -- all the footage is from the openings of various shows -- but I like the song.
And a few others:
Nod Ya Head: The Big O/movie trailer
Eva Bebop — Evangelion/Yoko Kanno
Lord of the Yen: Azumanga Daioh/movie trailers
Stop the Rock: various/Apollo 440
Excel Pop-Up video: Excel Saga vs. Jewel
Elvis vs. Anime: various/Elvis Presley
Hello Fairy: Bottle Fairy/very various.
Waka Laka (for Osaka): Azumanga Daioh/Jenny Rom and the Zippers
Senshi on Springer: Sailor Moon vs. Jerry Springer/Weird Al (some rough language and off-color humor)
Nightmare: Evangelion/A Perfect Circle — watch this, and then watch:
Floyd's Nightmare: Azumanga Daioh/A Perfect Circle