I like a lot of Mika Nakashima's music videos. especially LEGEND PV has some really cool visuals

Sugar Water - Cibo Matto

I think Utada's sakura drops is pretty excellent in my opinion. It's so interesting and absolutely gorgeous.

Ayumi Hamasaki - ourselves. :3

Well I have more than one but my current favourite is p!nk - stupid girls

Hollaback girl by Gwen Stefani. Very cool video.

ourselves

Planetarium- Ai
Put 'Em up- Namie
alterna- Ayu
GO MY WAY- hitomi
VS- misono

I love Utada's PVs. Traveling and Sakura Drops. I love Mika's Legend, Seppun and Hi no tori PVs. There's a new PV that I really LOVE. Emilie Simon - Fleur de Saison (check it out at youtube: http://youtube.com/watch?v=UMDunGVx7...ur%20%20saison)
I also think Björk's All is full of love is great.

Jpop videos:

Ayu: Ourselves, My Name`s Woman, Evolution, Real me, STEP You
Kuu: Juicy, Shake it up, Shake it, Candy, Selfish
Namie: Want me, Want me, Speed star, Put `em up, Can eat, can`t sleep, I`m sick
BoA: Jewel song, Every heart, Valentini

Too Hard to Pic One, So I'll Just give you a Big old List ^_^

Japanese:
Malice Mizer - Bel Air, Beast of Blood, Le Ciel
Koda Kumi - Shake it up, Birthday Eve
Ayumi - Angel's Song, WHATEVER
Nanase Hoshii - Nana Navigation
Misono - VS

English/American:
From first to Last - Note to Self, Ride the Wings of Pestilence
Ash - Starcrossed
The Modern - Industry
Evanescence - Everybody's Fool
Slipknot - Vermillion

Fatboy Slim - Weapon of Choice.

Not very special, I still love it to bits.

Ya Mama is great aswell.

^ weapon of choice is damn funny!

some of my favourites include:
Ayu - STEP you, because of you
Utada - sakura drops
Christina Aguilera - fighter, dirrty, ain't no other man
Pussycat Dolls - buttons

there's others, i just can't think of them right now

I cant believe no one has mentioned these (Except for PC with Around the World :hi5). (Youtube links for convenience)

Radiohead - Rabbit in the Headlights Although this is kinda slow, don't skip/forward any scenes (even if you don't get it--you're not supposed to until the end). Just watch through. Absolutely Mindblowing!

Supercar - Be Nothing like you've ever seen. It's a japanese music video but you'll get it without translations. Basically there's a soccer player, and everytime he misses a goal a yakuza member kills someone that he knows. Very cool, give it a shot. (Plus the ending is hilarious and totally unexpected!! XD XD)

Daft Punk - Around the World You just have to watch it to see how creative it is. I loved it! :)

Tori Amos - Caught A Lite Sneeze
Tori Amos - A Sorta Fairytale

Mika Nakashima
A lot of her videos are amazing. They're just so beautiful. Stunning. Watch Seppun, Love Addict, Hi no Tori and about all her BEST videos. Her bestest video would be LEGEND.

Hikaru Utada
Classic, overplayed videos. Traveling, Sakura Drops, Passion and all those stuff. Her visually appealing videos have the best colours ever. Bestest video would be Keep Tryin' which is simply so cheery and happy and professional.

Ayumi Hamasaki
You know her. Best video from Ayu I say would be Rainbow and Surreal.

Others would be...
Tori Amos - Sleeps With Butterflies
Ai Otsuka - Planetarium
Gwen Stefani - What You Waiting For?
Dashboard Confessional - Don't Wait
The Mars Volta - The Widow

interstella 5555 by daft punk! blows everythin out of the water

its a musical movie but I think of it as a music video for the whole discovery album and more. yous should watch it, go rent it from the dvd rental. its awesome. its designed by daft punk and matsumoto, good story too. the "one more time" video comes from this.

this one is good too :) way ahead of its time. i think it was her most exie video as well

For funky/funny videos you can't go past this one

Ok Go - here we go again [treadmill dance]
apparently this vid cost only $4 000 to make. if only all these expensive $10 000+ ones were this good

i would say Mika Nakashima's Sakura iru Maukoro.. its simple and nearly made me cry..