This can be achieved as soon as you unlock Planet 3, Scarstu Debris Field. It's a small planet that only has the landing pad, a vendor and the bar area.
In the corner of the bar, to the right hand side of the counter you'll find Zurkie's Jukebox. Press triangle to interact, select and select a song. Once you hear the song change, select another, wait for the change and select the third. When the third begins to play, the trophy will then pop.