Excellent reference source.
The music used during the series first two seasons often consisted of light, contemporary pop music, including songs featured in the charts at the time. Starting with season 3, the music varied between pop and gritter alternative/new wave/techno sounds, giving viewers a preview of the genre change in popular music to a more alternative sound in the early 1990s. There was also an increase in the amount of rock music used later in the series. According to music coordinator and associate producer Fred Lyle in a 1985 interview with Billboard magazine, the music was chosen to include some lesser-known artists to avoid “the familiarity of the song detracting from the action”; many musical acts now thought to epitomise the 80s are notably absent, including Duran Duran, Culture Club, and Prince. Music that was chosen was selected and often cut/edited to fit the mood of the scene in which it appeared.
via Miami Vice Wiki.