Here are a few suggestions for 2000-present off the top of my head......
3 Libras - A Perfect Circle
405 - Death Cab For Cutie
A Million Days - Prince
A Tyranny Of Souls - Bruce Dickinson
The Alchemist - Bruce Dickinson
Amen Omen - Ben Harper
Angel - Judas Priest
Away From The Sun - 3 Doors Down
Baby, Please Don't Go - Aerosmith
Babylon Feeling - Everlast
Back To A Reason - Savatage
Back To The Moment - Slashs' Snakepit
Bleed - Cold
Blow Away - Staind
Broken - Everlast
Broken - Seether
Broken Drum - Beck
Brutal Planet - Alice Cooper
Build A Bridge - Limp Bizkit
By Your Side - The Black Crowes
Calling All Angels - Lenny Kravitz
Chicago Is So Two Years Ago - Fall Out Boy
Closer To You - The Wallflowers
The Dark - Trans Siberian Orchestra
Don't Stop Dancing - Creed
Down To My Last - Alter Bridge
Early Sunsets Over Monroeville - My Chemical Romance
Epiphany - Staind
Everybody Knows That Your Insane - Queens Of The Stoneage
Far Away - Nickleback
Feel Good, Inc. - Gorillaz
Fly Away - Jon Oliva
Fuckin' In The Bushes - Oasis
The Ghost Of You - My Chemical Romance
Goin' Home - Neil Young
Gravity - A Perfect Circle
Hand Me Down - The Wallflowers
Hazel Eyes - The Darkness
Heaven - Live
Heavens Dead - Audioslave
Hemorrhage(In My Hands) - Fuel
Holding My Own - The Darkness
Hurt - Johnny Cash
... If You See California - Chris Robinson
Imagine - A Perfect Circle
In The End - Linkin Park
In This River - Black Label Soceity
Is It Raining Where You Are - Angus Clark
Jainy - Five For Fighting
Keep The Dream Alive - Oasis
Kite - U2
Life - Brides Of Destruction
Louisiana Bayou - Dave Matthews Band
Luv Lies - Aerosmith
Man Of Constant Sorrow - The Soggy Bottom Boys
Megalomaniac - Incubus
Mosh - Eminem
My Immortal - Evanescence
My Obsession - Cheap Trick
Nico - The Cult
No More Lies - Iron Maiden
Nobody - Five For Fighting
Nothing As It Seems - Pearl Jam
Nothing Better - The Postal Service
One Thing - Finger Eleven
Overcome - Live
Painted On My Heart - The Cult
Picture - Kid Rock
Please Bleed - Ben Harper
Radio Cure - Wilco
Razor Love - Neil Young
Reno - Bruce Springsteen
Right Where It Belongs - Nine Inch Nails
Safe And Sound - Sheryl Crow
Safe Home - Anthrax
The Scientist - Coldplay
Set Yourself On Fire - Stars
Shadow On The Sun - Audioslave
Someday - Tommy Stinson
Sometimes - Ours
Sometimes You Cant Make It On Your Own - U2
Somewhere Only We Know - Keane
Space Between - Dave Matthews Band
Stay Or Leave - Dave Matthews
Stillborn - Black Label Society
Streets Of Love - Rolling Stones
Styrofoam Plates - Death Cab For Cutie
Suffocate - Cold
Sugar, Were Going Down - Fall Out Boy
Take This - Staind
Tell Me Why - Cold
This Womans Work - Maxwell
Thumbing My Way - Pearl Jam
Transatlanticism - Death Cab For Cutie
Trouble - Coldplay
Wake Me Up When September Comes - Green Day
What If - Coldplay
What Sarah Said - Death Cab For Cutie
Where Are You Going - Dave Matthews Band
Whiter Shade Of Pale - Black Label Soceity
The Wickerman - Iron Maiden
Yellin' At The Christmas Tree - Billy Idol
Yes, You Are - Brad
You Got No Right - Velvet Revolver
You're Missing - Bruce Springsteen