There was no soundtrack ever produced or created for this Martin Scorcese 1973 classic.
 
The Ronettes                      Be My Baby
The Rolling Stones          Tell Me (You're Coming Back)
Derek and The Dominos     I Looked Away
The Rolling Stones          Jumpin' Jack Flash
The Charts                          Desiree
The Shirelles                      I Met Him On A Sunday  
The Paragons                    Florence
Little Caesar & The Romans  Those Oldies But Goodies
The Marvelettes               Please Mr. Postman
The Aquatones                 You
Betty Everett                     Shoop Shoop Song (It's in His Kiss)
The Chantels                     I Love You So
The Nutmegs                   The Ship of Love
The Chips                           Rubber Biscuit
JOHNNY ACE                  Pledging My Love
THE SHELLS                    Baby Oh Baby
THE MIRACLES               Mickey's Monkey
LOVE UNLIMITED          It May Be Winter Outside (But in My Heart It's Spring)
CREAM                               Steppin' Out
Giuseppe di Stefano     Addio Sogni di Gloria
Giuseppe di Stefano     Canta Per' Me
Giuseppe di Stefano     Munasterio di Santa Chiara
Renato Carosone           Marruzella
Renato Carosone           Scapricciatiello
Ray Barretto                     Ritmo Sabroso Ray Barretto
Jimmy Roselli                  Malafemmina