For me, The Cure - Inbetween Days is my favorite video of the moment.

So what's yours?

Greeday - American Idiot

Even though I don't really like them that much, the video is just too awesome, especially after I saw that "Making Of:" video.

REM - Losing My Religion

I didn't like the song before I saw the video, and now I love it.

Also, all of the Aqua videos were kind of cool. :p

Exterio - Bonhomme 7 heures

Linkin Park - Breaking The Habit

Metallica - One
Megadeth - Sweating Bullets

faith no more - everythings ruined

U2 - Beautiful Day (French holiday version)
Outkast - Hey Ya!
Jet - Look What You've Done
Foo Fighters - Learn to Fly

Jean-Michel Jarre - Oxygene 4

The hell I watch music videos.

Radiohead - Karma Police

No Doubt - Ex-girlfriend

*drool

I almost put that one down. I love that video.

Prodigy - Smack My ***** Up

Pretty much all Radiohead videos, but to choose one,

Pyramid Song

Radiohead - Just, Karma Police, Street Spirit, and Pyramid Song.

Coldplay - The Scientist

Korn - Ya'll Want a Single

Rammstein - Ich Will, Amerika, Keine Lust

Anything with Winona Ryder in it.

Yeah.

QFT.

Those two are really good.

Foo Fighters - Low is hilarious

I like this one:

http://www.samsungexplore.com/playing/games_arcade/AdventCalendar/day8.html

I haven't seen many music videos, but I really enjoyed Franz Ferdinand's Take Me Out and This Fire videos.

Those, and
Fatboy Slim - Weapon of Choice

Can't go wrong with dancing Christopher Walken

Wolfgang Amadeus Mozart - Le nozze di Figaro

Yes.

Rammstein:
Du Riechst So Gut
Sonne
Links
Ich Will
Engel

Wierd Al:
All of them

Green Day:
Warning
Hitchin' a Ride
Basket Case
Minority
Nice Guys Finish Last
Walking Contradiction

Primus:
All of them

Linkin Park
Pts.Of.Athrty

YES!

Some good ones already mentioned:
REM- Losing My Religion
The Radiohead ones

David Bowie- Ashes to Ashes
This one is really weird. It has David Bowie dressed as a french clown shaking his finger at the screen, among other stuff.

Rage Against the Machine- Sleep Now in the Fire
This was directed by Michael Moore, and IMO is a lot more effective than his movies (which are either underrated or overrated, depending on who you're talking to)

Nirvana- Pretty much all their major videos
Great stuff, here's the list:
Come As You Are- Full of symbolism from Kurt's childhood and weird stuff

In Bloom- There are different versions, but the best is where it's in black and white and made to look like one of those old pop tv shows. It switches between them looking wholesome looking, wearing suits, and them wearing dresses and tearing the place up

Smells Like Teen Spirit- Rocking out in a dusty old gym

Sliver- Has his daughter in it, and is in his garage. Full of weird stuff.

Heart Shaped Box- Full of all kinds of creepy symbolism

Red Hot Chili Peppers- Otherside

REM- They have a ton of great music videos
Here are some of them:
Talk About the Passion- turns the song into social commentary.

Low- Fits the mood of the song well. Has a lot of creepy paintings.

Shiny Happy People

Everybody Hurts

Nightswimming- As beautiful as the song itself. It has both male and female frontal nudity, but it's done in a totally non-sexual way.

Imitation of Life- Full of subtle sexual references.

Bauhaus- Ziggy Stardust

Red Hot Chili Peppers - Can't Stop

Anything by Tool, especially Parabola. Adam Jones knows how to make vivid imagery.

Except Hush. We'll just pretend that video never happened.

Tool? They have very good videos but Schism freaks me out when he pulls the veins (or whatever that's supposed to be) out of his neck.

SO TRUE!!

if(getThingFlags(source) & 0x8){
  do her}
elseif(getThingFlags(source) & 0x4){
  do other babe}
else{
  do a dude}

Reptillia by the Strokes... sweet video. Also Do the Evolution by Pearl Jam.

I guess all of the Strokes' videos are cool... except for their newest one. That one is just above mediocore.

Metallica - One
Rammstein - Amerika
ZZ Top - Burger Man
Van Halen - Panama
Sum 41 - The Hell Song
Red Hot Chili Peppers - Cant Stop
Red Hot Chili Peppers - Californication

That's all I can really think of at the moment...

Enya - Orinoco Flow

I don't watch much music television, but I remember this one being rather neat, back in the day.

Bauhaus - Ziggy Stardust

Nightwish - Nemo

Within Temptation - Memories

Beastie Boys - Sabotage

Muse - Bliss
Muse - Muscle Museum (the scene where the kid is brushing his teeth and then breaks down is simply amazing)
The Tea Party - Temptation
Soundgarden - Black Hole Sun
Abandoned Pools - The Remedy (only because of the amazing bassist)
Kenna - Hell Bent (just something about this one really touches a heartstring)

Reel Big Fish - Everything Sucks

Finch - What it is to burn

I really haven't seen many music videos.

CALL ON MEEEEEEE! CALL ON ME!

In other news, I saw Electric Six's video for Gay Bar today. That is something that I will never forget. O_o

Well, at least it's a good song!
I've seen the video too... not my thing.