Here is the full list of all 14 Starlit Adventures trophies - there are 11 bronze, 2 silver and 1 gold.
Completed the Album!
Opened 50 chests at the infinite tower
Collected all sticker packs
Defeated 100 enemies at the Infinite Tower
Collected all stars in World 8
Defeated all bosses.
Collected all stars in World 7
Collected all stars in World 6
Collected all stars in World 5
Collected all stars in World 4
Collected all stars in World 3
Collected all stars in World 2
Collected all stars in World 1
Complete a Stage without damage