I did this before, but in a more complicated way where I chose one of my super great playlists. This time I would choose a Daily Mix playlist from Spotify and the first song off of that playlist that hasn’t been chosen.
Example for my case:
These are the mixes:
Jag would get Mix 3, which is mostly Britpop.
The first song on that list is this, which is a great song off of the second worst album by my first favorite band: