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