Credit to bongohawley (https://www.trueachievements.com/bongohawley.htm
) for figuring this one out.
To earn this achievement you must 5 star all songs on Rookie, Pro and Baller. Then you must purchase the full version of all 30 songs and also earn 5 stars on all of those on Rookie, Pro and Baller. In the song menu the full track shows up right next to the short track.
30 short songs at 3 levels = 90 songs
30 full songs at 3 levels = 90 songs
180 songs with 5 stars required.