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