Broad appeal

  • Right Now
  • Foe Yay
  • Chronicles of Ghibli
  • Soldier A. Original tribute to redshirts. Should be general appeal.
  • Lucky Me (Buffy romance) (not anime)
  • Golden Boy/I Want to Ride My Bicycle -- first AMV I liked; I liked it without knowing the sources.
  • Princess Tutu Hold Me Now -- demonstrably works for people who haven't seen Tutu
  • As above, with "disco" visual effects
  • Watchmanga (Watchmen, Darker Than Black, Cowboy Bebop)
  • Chobits / The Internet is For Porn
  • We Need You various things to Starship Troopers. Should be good for all.
  • Caramell Dansen misheard lyrics
  • Silence of the Vampires -- Hellsing cross Silence of the Lambs. I haven't seen either and liked it. OTOH I did know something about Hellsing.
  • Space Girl (not anime)
  • Fireflies, random cheerful melange
  • Complete History Of The Soviet Union, Arranged To The Melody Of Tetris

    I liked but think you might need more specific background

  • FMA "Date R*pe"
  • Utena Matrix
  • One-eyed fish, Mushi-shi AMV
  • Sora no Woto Good Day to Die
  • Captain Harlock live action fan trailer
  • Cleaver Girl Higurashi's Rena to "Creepy Stalker Girl". Excellent, might be decent if you haven't seen it.
  • Lodoss war Saga begins
  • Evil Buffy opening (not anime)
  • Princess Tutu Caramelldansen -- with real dancing!
  • Macross Frontier Troopers -- has no soul but very well executed.
  • Bleach 300 Trailer. There's a zillion of these, but this one features Kenpachi's 11th Squad as the Spartans, so it has a thematic unity most others lack. At least if you've seen enough Soul Society arc to get a feel for Kenpachi and his squad.

    Haruhi Suzumiya

  • Harassment of Kyon -- Koizumi/Kyon/"I want to be your girlfriend"
  • Haruhi/She's Just Oblivious -- very well-matched if you know the series.
  • Endless Eight variety montage (only 3 minutes long)

    Mahou Shoujo Madoka Magica

  • Melancholy of Homura Akemi
  • Homu Homu no naku koro ni
  • "Season 2" OP, Suzumiya style
  • Doctor Whomura
  • How much are Homura's weapons worth?
  • Live-action cosplay at Anime Expo. Pretty good apart from the Homura's body language, more moe than badass.
  • Madoka/Homura cosplay stills outlining the story. Impressive.
  • Family Friendly Episode
  • I'm not sure what

    Twelve Kingdoms

  • Youko's mad world
  • 12K -- Strength in Transformation
  • 12K fanart slide -- slideshow of 12K fanarts.
  • Rakushin In Love With Two -- probably meaningless without seeing the series.
  • 12 Kingdoms Caramell Dansen -- probably not much good if you haven't seen 12K. Livened up, at least.

    More random

  • Haruhi S2 English Super Driver
  • 12K Elizabeth -- nicely done, though the plots have little to do with each other.
  • Yu Yu Haksushou Buffy -- feels well done but I don't know the anime.
  • Villainous Destiny -- might work better if you know old anime to recognize the villains; I get Laputa and Lodoss, I think.
  • First non-sucky Buffy/Sailor Moon I saw
  • Cardcaptor agni kai
  • and in reverse
  • COPS GitS
  • 12K Avatar
  • 12K Taiki stolen child
  • 12K smoooch
  • Harry Potter smoooch
  • Doctor/Master/Avenue Q
  • People's Mario
  • Commiedora
  • Communist Mario-Stalin
  • Azumanga Soviet
  • Banned cartoons
  • Minecraft Ghibli World
  • Wizard of Ozaka
  • Senshin on Springer
  • Ballad of Mike Haggar