Here is the full list of all 53 Rainbow Moon trophies - there are 42 bronze, 8 silver, 2 gold and 1 platinum.
Obtain all other trophies to unlock the platinum trophy.
Accumulate 100 hours of play time.
Reach level 500 with any of your main characters.
Acquire and learn all available skills for any of your main characters. (The skill level doesn't matter)
Accumulate 500,000 Rainbow Coins in your inventory.
Reach level 250 with any of your main characters.
Complete 40 or more side quests.
Reach level 100 with any of your main characters.
Improve your weapons or armor at the crafting shop 250 times.
Rebuild and obtain the Magic Portal Staff and defeat Namoris for the last time to gain unlimited warp access to the portal.
Kill at least 300 of the same type of monster.
Accumulate 40 hours of play time.
Win two 'Class-S' prizes in the lottery.
Win five 'Class-A' prizes in the lottery.
Discover and use all wells on Rainbow Moon.
Use any recovery well at least 15 times.
Discover and enter the Murky Basement, an optional dungeon in Burning Steppe.
Discover and enter the Forgotten Island, an optional area on Rainbow Moon.
Discover and enter the Warehouse, an optional dungeon in Taswan.
Discover and enter Limwar's House, an optional dungeon in the Green Shimmer Forest.
Win 10 prizes in the lottery.
Create 100 new monsters by splitting existing monsters with the killing stroke.
Acquire all six main characters.
Obtain the Crystal Clasp artifact.
Obtain the Orb of Delusion artifact.
Obtain the Magic Socket artifact.
Obtain the Ethereal Spike artifact.
Obtain at least 100 hidden treasure items.
Level up any of your active skills to level 50 or higher.
Discover and enter the Ocher Stone Swamp, an optional area on Rainbow Moon.
Learn at least 10 different passive skills with any of your main characters.
Accumulate 2,500 Rainbow Coins in your inventory.
Obtain the Twisted Pole artifact.
Use the camp at least 25 times.
Stay overnight at the tavern 10 times.
Acquire Serena.
Obtain the Fused Twilight Gem artifact.
Improve your weapons or armor at the crafting shop 50 times.
Acquire Gorodo.
Obtain the Charged Magnet Coil artifact.
Obtain the Mojo of Trust.
Obtain the Mojo of Torture.
Acquire Dozeru.
Obtain the Mojo of Tears.
Improve your weapons or armor at the crafting shop 10 times.
Defeat the monster that lives in the well in Cassar Village and get back to Stella.
Escape 30 times from a battle using the escape option.
Win 50 or more random encounter battles.
Acquire Trisha.
Help Sarrothrod in the Southport Mines to escape from the dungeon and return to Cassar Village.
Lose three battles.
Win your first battle on Rainbow Moon.
Accumulate 200 Rainbow Pearls with any character before spending them at the savant.