this should be fun, pick 11 tracks that would be on your "ideal" album, if you like you can add bonus tracks, lets say 18 track maximum.

mine:

1. Acquiesce - Oasis
2. Supersonic - Oasis
3. Live Forever - Oasis
4. Yellow Submarine - The Beatles
5. Lucy In The Sky With Diamonds - The Beatles
6. Pinball Wizard - The Who
7. Gimme Shelter - The Rolling Stones
8. Bohemian Rhapsody - Queen
9. Wonderwall - Oasis
10. Don't Look Back In Anger - Oasis
11. Paint It Black - The Rolling Stones

Bonus Tracks:

12. The Show Must Go On - Queen
13. Fade Away - Oasis
14. I Wanna Be Adored - The Stone Roses
15. While My Guitar Gently Weeps - The Beatles
16. Falling Down - Oasis

Promotional Singles:

1. Acquiesce
2. Lucy In The Sky With Diamonds
3. Bohemian Rhapsody
4. Wonderwall
5. Paint It Black

1 - Disturbed: Down With The Sickness
2 - Senses Fail: All The Best Cowboy's Have Daddy Issues
3 - Korn: Falling Away From Me
4 - System Of A Down: B.Y.O.B.
5 - Flogging Molly: Man With No Country
6 - Rise Against: Hero Of War
7 - Scars On Broadway: 3005
8 - Bloodsimple: Plunder
9 - Flyealf: I'm Alive
10 - Paramore: Ignorance
11 - Rage Against The Machine: Bombtrack
12 - Billy Talent: St-Veronika
13 - Three Days Grace: I Hate Everything About You
14 - Serj Tankian: The Unthinking Majority
15 - Green Day: American Eulogy

Man, that is a little difficult but I'll try just going off some of my most played in iTunes (and knowing that some of my newer songs won't be near my most played) and not having more than one or two of a single artist:

1. Trí Fhidilí - Mairead Nesbitt
2. Born for This - Paramore (I like them, but I hate them live)
   
3. Amaranth - Nightwish
4. Explosive - Bond
5. Wrapped in Your Arms - Fireflight
6. I Want to Be Buried in You Backyard - Nightmare of You
7. Welcome to the Black Parade - My Chemical Romance
8. Hallelujah - Rufus Wainwright
9. Jesu Joy of Man's Desiring - Celtic Woman
10. Quanta Qualia - Hayley Westenra
11. Life in Mono - Mono
12. Little Fugue in G Minor - Bach
13. Spoonful - Etta James
14. Here I Sit in Prison - Cowboy Mouth
15. Cherry Lips - Garbage
16. How Deep is Your Love -The Bird and the Bee
17. Damn it Feels Good to be a Gangster - Ghetto Boys

Bonus Track

• Nocturne to Light the Stars - Alquimia & Gleisberg (I can't find a video for this one ;_;)
• Enormous Penis - DaVinci's Notebook

I know that's 19 in all, but since I can't find the video for the one random one, I added Enormous Penis.

1. Three Days Grace - Last To KNow
2. Paramore - Decode
3. PokerFace - Lady GaGa
4. Disturbed - Enemy
5. Three Days Grace - Gone Forever
6. Green Day - 21 Guns
7. Green Day - Know your enemy
8. Paramore - Ignorance
9. Three Days Grace - Pain
10. Three Days Grace - Someone who cares
11. Apocalyptica ft Adam Gontier - I Don't Care
12. Paparazzi - Lady Gaga
13. Daughtry - What About Now
14. Breaking Benjamin - Diary Of Jane

They already did it, it's called Radiohead, The Best Of.

poker face- lady gaga
just dance- lady gaga
paparazzi- lady gaga
rihanna- disturbia and don't stop the music.
britney spears- toxic, circus, mannequin.
florida- right round, jump
micheal jackson- billie jean

This.

Hmmm.

1. Eminem - Sing For The Moment
2. Opeth - Windowpane
3. Bloc Party - Helicopter
4. Maximo Park - Apply Some Pressure
5. Opeth - Demon Of The Fall
6. Eminem - Lose Yourself
7. 36 Crazyfists - We Cannot Deny
8. Daft Punk - Aerodynamic
9. Dream Theater - Count Of Tuscany
10. Gojira - To Sirius
11. Mario Galaxy Orchestra - Space Junk Galaxy

Bonus Disc:
12. Bloc Party - She's Hearing Voices
13 Maximo Park - Parisian Skies
14 Eminem - Renegades
15. 36 Crazyfists - Only A Year Or So

Man, that was so hard. Many of the artists recur simply because I love them and can't pick between multiple songs. But this pretty accurately reflects my listening habits and my all-time favourite songs and artists.

This is off the top of my head. So I may be missing some good ones

1. London Calling (Clash)
2. Prayer of the Refugee (Rise Against)
3. Take on Me (Reel Big Fish version)
4. Diary of Jane (Breaking Benjamin)
5. The Middle (Jimmy Eat World)
6. Only One (Yellowcard)
7. Somewhere in the Between (Streetlight Manifesto)
8. You're gonna go far, kid (Offspring)
9. Ballroom Blitz (Sweet)
10. In Too Deep (Sum 41)
11. Rock'n Me (Steve Miller)

Bonus tracks

12. Magic Carpet Ride (Steppenwolf)
13. Undead (Hollywood Undead)
14. Touch of Grey (Greatful Dead)
15. How to Save a Life (The Fray)
16. Sultans of Swing (Dire Straits)

Promotional Singles

1. Holiday in Cambodia (Dead Kennedys)
2. Complete Control (Clash)
3. I'm So Bored With the USA (Clash)
4. No Surrender (Springsteen)
5. Foreplay/Long Time (Boston)

I f*cking love Hero of War! Good call.  And Ignorance is good too