Here is the full list of all 24 Lapis x Labyrinth trophies - there are 10 bronze, 6 silver, 7 gold and 1 platinum.
Entered Fever 10 times in one stage
Scored 1,000,000 Treasure Combo
Scored 1,000 Treasure Combo
Destroyed all seals in any one stage
Acquired all Trophies
Cleared Quest Level 1
Cleared Quest Level 2
Cleared Quest Level 3
Cleared Quest Level 4
Cleared Quest Level 5
Cleared Quest Level 6
Cleared Quest Level 7
Cleared Quest Level 8
Cleared Quest Level 9
Cleared Quest Level 10
Defeated a Penumbra
Completed Monster Compendium
Completed Treasure Compendium
Guild Level 50 attained
Collected 1,000,000 Gold Coins
Obtained your first Ultimate Rare item
Got a Rarity 10 item for the first time
Found 3 Ultimate Rare items in one stage
Dealt 100,000 damage in a single strike