Persona 3 and 5 Dancing is available since May 24th, 2018. You can get and play both games, enjoy the music, and maybe follow the dance moves as you play with the console. That is, if you understand Japanese since they are still in development for the western localization. But! The western gameplay already out.
While we wait for the exact western release date that was said for early 2019, we can watch the good people from Atlus play and compete each other at the recent E3.
If you like Persona 3 and 5, and rhythm games, you might want to get these and enjoy ’em. I definitely can’t, since i’ll get distracted easily by the background animation.