Here is the full list of all 42 Persona 5: Dancing in Starlight trophies - there are 26 bronze, 12 silver, 3 gold and 1 platinum.
Obtained all trophies.
Watched every possible dance for Futaba.
Watched every possible dance for the P5 Protagonist (Ren Amamiya).
Watched all Social events.
Obtained all the costumes.
Obtained all rewards from the Twins' card hunt.
Obtained all the accessories.
Unlocked all Custom modifiers.
Obtained all the pairs of glasses.
Explored all the girls' rooms.
Had the Twins join the grand ball.
Obtained an invaluable treasure upon the stage.
Explored all the guys' rooms.
Cleared a stage on HARD or harder with all Support modifiers enabled.
Cleared a stage after changing Hype Gauge difficulty in Custom.
Cleared a stage with both "Note paths waver" and "Note speed fluctuates" enabled.
Cleared a stage with both "GOOD ratings won't break combos" and "Game Over with combo break" enabled.
Obtained 5 rewards from the Twins' card hunt.
Started a stage on ALL NIGHT difficulty with 10 or more Challenge modifiers enabled.
Obtained half of all the accessories.
Cleared a stage with 5 Challenge and 5 Support modifiers simultaneously enabled.
Failed a stage.
Watched 40 different Fever Time dances.
Started a stage with a different hairstyle, two accessories, color contacts, and a colored wig.
Cleared the stages where Morgana and Haru dance together.
Cleared the stages where Yusuke and Makoto dance together.
Registered a costume as a Favorite.
Earned the highest possible grade on a stage (KING CRAZY).
Explored a friend's room.
Unlocked the highest difficulty level (ALL NIGHT).
Watched a replay.
Obtained half of all the costumes.
Watched 20 Social events.
Unlocked all ???s in Collection.
Cleared the stages where Ryuji and Ann dance together.
Beat your own high score.
Changed costumes and played a stage with each of the Phantom Thieves (excluding Akechi).
Watched a Social event.
Cleared a stage on HARD or harder and earned a PERFECT rating on at least half of the Notes.
Played a tutorial.
Cleared a stage.
Obtained a costume.