In the 24th century, older forms of entertainment like television and radio seem to be obsolete and no longer in use. Entertainment like holonovels and live performances by the crew have become more prominent. Additionally, the Starfleet database contains music from across the galaxy going back centuries. There doesn’t really seem to be much need for the radio anymore.
However, it’s hard to believe that music just stopped being made. There have to be aspiring musicians out there creating new music. Commentators from Bajor to Vulcan no doubt would like to share their opinions on current events in the Federation. Radio stations today often struggle with falling audience numbers and the resultant drop in advertisement revenue. In a post-scarcity economy, radio stations could make a comeback and serve a niche audience.
What kind of music would your character listen to after a long day to unwind? Would they choose the greatest hits of the 20th century or is the indie music of the 23rd more to their liking? Maybe your character would prefer to listen to talk radio shows and keep up to date with current events. With commercial viability being a lower barrier for entry, even radio dramas could make a resurgence.
If Starfleet had radio stations on the ship, what would your character listen to?