Here are my choices:
You Shook Me All Night Long by AC/DC (I'm so sick of this song, but it still has a great intro!)
Whipping Post by The Allman Brothers
Do Me! by Bell Biv Devoe
Rebel Yell by Billy Idol
Beginnings by Chicago
Suite Judy Blue Eyes by Crosby Stills & Nash
Rebel Rebel by David Bowie
Woman from Tokyo by Deep Purple
All She Wants to Do Is Dance by Don Henley
One of These Nights by The Eagles
Shakin' by Eddie Money
We're an American Band by Grand Funk Railroad
Some Kind of Wonderful by Grand Funk Railroad
Sweet Child of Mine by Guns N Roses
I Can't Go for That (No Can Do) by Hall & Oates
Need You Tonight by INXS
Stone in Love by Journey
Enter Sandman by Metallica
Beat It by Michael Jackson
Billie Jean by Michael Jackson
Fool's Game by Michael Bolton
Mississippi Queen by Mountain
Hair of the Dog by Nazareth
Slow Ride by Foghat
Love Is the Drug by Roxy Music
How Soon Is Now by The Smiths
Green-Eyed Lady by Sugarloaf
Stranglehold by Ted Nugent
Mysterious Ways by U2
Vertigo by U2
This is a very incomplete list. Some of the intros are rather short; who said it has to be long to be good?