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