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