If you could...please explain why you liked them. If you don't want to do that though, feel free to just post the anime and the song name (or group that did it).
I've hardly seen any anime music videos from the past three or four years so my favorites are mostly real old ones.
Not in order of preference:
1. Omoide Poro Poro - Forever Young - C-ko's:
I liked C-ko's videos because they match up the video clips with the lyrics of the song so well. This one is no exception.
2. Maison Ikkoku - Always on My Mind - Cko's:
Another C-ko's AMV. I like Maison Ikkoku and they chose great clips considering that they only used clips from the first ?ten or so episodes of the show.
3. Rurouni Kenshin - House is a Rockin' - Maboroshi:
This is a comedic AMV and the comedic clips he chose were really funny.
4. Dragonball ?summary movie #? - Hero of the Day by Metallica - ?Maboroshi
This may or may not be a revised version of the one I seen many years ago:
http://www.animemusicvideos.org/members ... hp?v=64839
I'm not into Dragonball, but I thought this video was great. Big plus was the Metallica song, but the clips went with the song very well. The energy of the song and in the video clips blended well.
5. Ranma 1/2 - Love Kills by Queen - ?C-ko's
I loved the lyrics of "Love Kills" blended with scenes of Ranma getting whacked around by the girls.

6. Various - They Did It For the Nookie by Limp Bizkit - Kusoyaro Prod:
http://www.animemusicvideos.org/members ... php?v=2822
I find this video to be pretty funny. This video becomes ecchi because of the lyrics and the Golden Boy, Aika, Demon Hunter Youko, Slayers, Bakuretsu Hunters and Evangelion clips he used. The clips went well with the lyrics.

7. Various - Total Eclipse of the Heart - C-ko's:
http://www.animemusicvideos.org/members ... hp?v=15869
As usual the lyrics of this C-ko's AMV go along well with the lyrics. When the lyrics say "Turn Around", the characters turn around.

8. KOR - Only Time Will Tell - unknown:
I saw this on an old tape of mine. It's an old song, but I like the song and the clips they chose from KOR.
9. Lain - Sleep Now - Maboroshi:
http://www.animemusicvideos.org/members ... o.php?v=94
Spooky, cool Lain video.

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AMVs I liked to a lesser extent than the ones above:
1. Kanon - All I Want - Maria of Chocofansubs:
http://www.edkeyes.org/choco/
(Unfortunately it's mixed into a 900Mb AMV grab bag

Unfortunately it runs a bit out of steam near the end because the earlier clips were better than the ones near the very end. I still like it though and play it every now and then.
2. To Heart - Ame Agari (?second Angelic Layer closing song) - Jeff Lawson:
http://www.jefflawson.net/anime/amv.html
A short video, but it sort of summarizes the first TV series story into a nutshell.
3. Lupin III Die Nostradamus! - theme from Mission Impossible - Maboroshi:
A fun video with Lupin and company doing their thing. Unfortunately the scene of the building collapsing now takes on sinister overtones after 9/11.
4. Elf Kakyuusei OVA - Mejalin Kembali - by ?viator2k:
http://www.animemusicvideos.org/members ... php?v=2693
When I seen this several years ago it was the only purely Elf Kakyuusei music video around. I think it probably still is considering how unpopular the Elf Kakyuusei anime is. I rather like the Malaysian song he used, but you might not want to watch it until you've seen all of the anime or you'll end up seeing ending spoilers. Unfortunately...like he said himself...the story feels rather rushed near the end of the video.
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Other AMVs I've liked for one reason or another:
1. (Koibito) Ai Yori Aoshi - Maybe I'm Amazed - Tsuguyami:
http://www.animemusicvideos.org/members ... hp?v=49865
(I'm not sure why the AMV.org description mentions a Final Fantasy X song. Maybe this AMV is a later version of the one I have)
Nice clips from Ai Yori Aoshi and I've always liked the McCartney song.
2. His and Her Circumstances - Your Song - Jeff Lawson:
http://www.jefflawson.net/anime/amv.html
Clips from my favorite Kare Kano episode (the one about Yukino's parents) make this a bittersweet AMV.

3. Witch Hunter Robin - Dead Boy's Poem - Monkeysee and Jevex:
I really like the song. It works well with Witch Hunter Robin. But the clips they used could have been improved. And unfortunately they had to use clips that had subtitles showing.

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Does anyone have any Witch Hunter Robin, AIR, DNAngel anime music videos they can recommend?
Everytime I hear the Kelly Clarkson song "Breakaway" I think of AIR.
