Do you have a certain artists full library?

I do, I have all Eminem, all Simple Plan, all Beatles, and all Metallica.

I have the entire library of both Mindless Self Indulgence and Green Day. The first is because I love them, the second is for the purpose of seeing how much they've changed over the years.

the_casualty : That's actually a good idea, considering how different their music really sounds over the years. Once my computer stops being crappy, I'll download them.

I have all of Taking Back sunday's song including demos and stuff like that, same with blink-182.

I have all Green Day and all Kid Rock, but I don't have 'all' music for a lot of my favorite other bands.

I have most Bob Dylan, most ACDC, and most Eagles.

But when it comes to Green Day... Anything after Dookie just isn't as top quality. It's still good, it's just... Diffrerent.

You know, I kinda do. I have nearly every song from The Megas, apart from most of their acoustic covers and Super Fighting Robot (again, just a cover). But I don't think that counts, but I have heard all their songs like a million times.

I'm not really into music I only have 23 CD's and I don't know much of the artists.

I don't have an ENTIRE library of artist's songs, but I do have a few CDs of Guns N Roses, Bon Jovi, etc. My dad's music basically.

I have a library in playlist.com which I have full of songs/albums of singers and I listen to the songs everyday.

I have all Avenged Sevenfold, Slayer, Black Sabbath, and Skrillex.

I have a few actually....

Britney Spears

Lady Gaga

Rihanna

Nicki Minaj

Michael Jackson

Avril Lavigne

Daughtry

Smashing Pumpkins

and most of Greenday and Nickelback.

Yes, I have the discography for many bands... let's see if I can list them without Vizzed giving me a MySQL error this time!

Abney Park
Apocalyptica
Blind Guardian
Depeche Mode
Dragon Force
Dream Theater
Godhead
Kamelot
Lacuna Coil
Liquid Tension/Trio Experiment
Marilyn Manson
Metallica
Nightwish
A Perfect Circle
Rammstein
Rhapsody of Fire
Scorpions
Symphony X
System of a Down
Tarja
Tool

EDIT: This is just the stuff on my personal laptop, it doesn't count the huge library that my fiance has, which I can get anything off of... then I have a ton of J-pop and Classic Rock bands.

I don't,I like a mix of different music All tho if i was to make one then it would be Eminem, i love his music.

all ramones, the smiths, placebo, simon and garfunkel, sex pistols, black sabbath until Ozzy left, joy division

loads to be honest, if I absolutely love a band I get every studio album at least

I don't really have a library of songs by any artist besides Billy Joel.  The only reason I have so many of his songs is because I got them all from my professor for free.  I'm a poor person.

Never mind full library,i dont even have a full album,the closest is about 3 short of an album.i only like a few of an artists songs.the most songs i have by an artist is rise against at about 35 songs.
So no,basically.

Let's see - I have nearly every Muse song to ever exist, including their early EPs. And a majority of blink-182, Green Day and the Beatles. Maybe a few others. I'm too lazy to check. =|

Working on it, but no where close. The big issue I'm having is actually finding the CD's or vinyls (yes I will gladly take a vinyl record), especially of area exclusive songs (Like "Cold Hearted Man" was only released on the Powerage single in Europe) though to be fair box sets and whatnot covers them...usually.

Artists I would like to own all from...hmm...here are the ones I would gladly work on now, but there are other artists of course. 

AC/DC
BB King
Bob Seger
Creedence Clearwater Revival
Eric Clapton
Iron Maiden
Joe Bonamassa
Joe Satriani
Johnny Cash
Neil Young
ZZ Top

I will not hunt down every LP from artists I don't like every LP. For instance, I like Metallica but I hates their st anger album (the drumming in particular) so I wouldn't buy it. As well, some artists aren't worth it if you count their Live work...Chuck Berry in particular only did live albums since I believe 1970, so his work isn't worth hunting down in its entirety.

Another factor, of course, is price. Lets take iron maiden for this case. They have around 15 studio albums, but counting live performances, compilations, and collaborations the count is closer to 30, and this is ignoring solo work done by the various members over time. It could easily run me anywhere from 200 to 400 Canadian Dollars trying to compile all of Iron maiden's work. Bands like CCR  only got a few records but the issue comes in with rarity and locality. 

I now have the complete Black Eyed Peas, and the complete Metallica collections.