Tom Petty And The Heartbreakers was an album rock group. Sometimes, Tom Petty recorded without the full group name. Songs that were by Tom Petty rather than Tom Petty And The Heartbreakers are indicated on the list below. The greatest hit by Tom Petty was 1981 number one song Stop Draggin' My Heart Around with Stevie Nicks. In 1990, Tom Petty had a second pop number one song with Free Fallin'. On the rock side, Stop Draggin' My Heart Around and Free Fallin' were both number one songs, joined by many others.