I don't exactly love these songs, but I feel that they would fit in GTA.
Rock Station
Sick, Sick, Sick- Queens of the Stone Age
12:51- The Strokes
Faint- Linkin Park
Sabotage- Beastie Boys
Capital G - NIN
Around the world - Red Hot Chili Peppers
Rap
Hey Ya - OutKast
Dead Wrong - B.I.G.
Mathematics - Mos-Def
You Got Me - The Roots
Flypaper - K-OS
Dance
My Love - Justin Timberlake
Chemical Brothers - Hey Boy, Hey Girl
Weapon of Choice - Fatboy Slim
Classic Rock
Learn to Fly - Pink Floyd
Paint it Black - Rolling Stones
I Am the Walrus - The Beatles
Dazed and Confused - Led Zeppelin
Light my Fire- The Doors
Hey Joe- Jimi Hendrix