This is clearly not a definitive list. I encourage you all to help us build the list by leaving your additions in the comments below.

1. Cheap Trick

Song: “Surrender”
Mention: … got my Kiss records out

2. The Red Hot Chili Peppers

Song: “Californication”
Mention: Cobain can you hear the spheres singing songs off station to station
Also: References David Bowie’s album Station to Station

3. Lynyrd Skynyrd

Song: "Sweet Home Alabama"
Mention: Well I heard mister Young sing about her
Well, I heard ole Neil put her down
Well, I hope Neil Young will remember

4. Johnny Rivers

Song: "Summer Rain"
Mention: Everybody kept on playing Sgt Peppers Lonely Hearts Club Band

5. Better than Ezra
Song: “Extra Ordinary”
Mentions: (Many in this song, but my favorites):

Though I got more hooks
Than Madonna got looks
And just like that AC/DC song
Come on baby, shake me all night long

6. Billy Joel
Song: “We Didn't Start The Fire”
Mentions: (Again, lots in here): Roy Cohn, Juan Peron, Toscanini, Dacron
Dien Bien Phu Falls, Rock Around the Clock - Einstein, James Dean, Brooklyn's got a winning team
Davy Crockett, Peter Pan, Elvis Presley, Disneyland

7. Regina Spektor
Song: “On the Radio”
Mentions: (Guns N’ Roses song)
On the radio we heard november rain
the solo's real long, but it's a pretty song
we listened to it twice 'cause the dj was asleep

8. Arctic Monkeys
Song: “Bet You Look Good On The Dance Floor”
Mentions: Your name isn't Rio, but I don't care for sand

9. Electric Light Orchestra
Song: “Shangri La”
Mentions: My Shangri-la has gone away,
Faded like the Beatles on Hey Jude

10. Bruce Springsteen
Song: “Thunder Road”
Mentions: Like a vision she dances across the porch as the radio plays
Roy Orbison singing for the lonely

11. The Beatles
Song: “Yer Blues”
Mentions: The eagle picks my eye, the worm he licks my bones
Feel so suicidal, just like Dylan's Mr. Jones

12. Wolfmother
Song: “Dimension"
Mentions: Purple haze is in the sky...