Here is the full list of all 43 Rainbow Skies trophies - there are 26 bronze, 13 silver, 3 gold and 1 platinum.
Unlock all other trophies.
Find and collect at least 150 items that can be picked or collected in the world.
Complete 75% of the item encyclopedia.
Use and study 40 magic books.
Unearth at least 50 buried treasures.
Steal at least 100 items from monsters.
Win 100 prizes of category B or better.
Defeat all of the monsters from the quest 'Monsters Everywhere.'
Increase the progress of all main quests from 90% to 100%.
Complete 50 or more optional side quests. Repeatable quests only count once!
Cause 100,000 damage with any attack.
Increase the progress of all main quests from 80% to 90%.
Bring all three main characters to level 70 or higher.
Discover 30 different fish.
Increase the progress of all main quests from 70% to 80%.
Expand a skill pattern of any skill 30 times.
Increase the progress of all main quests from 60% to 70%.
Find a total of 25 Moon Trophies.
Purchase 100,000 coins worth of items from any merchant.
Increase the progress of all main quests from 50% to 60%.
Completely explore 40 areas. (100%)
Upgrade any piece of equipment to '+5' by using crystals.
Catch at least 75 fish.
Survive 100 game days in the world of Lunah. (Defeats are permitted.)
Discover and explore at least 20 optional areas or dungeons.
Increase the progress of all main quests from 40% to 50%.
Eat 50 of any food to do more damage in battle.
Play at least 200 hours (game world time, not Earth time!) with an active light spell. It doesn't matter if the light is activated using items or magic.
Improve equipment 100 times at the Blacksmith using any materials.
Increase the progress of all main quests from 30% to 40%.
Achieve sales level 2 in any shop.
Increase the progress of all main quests from 20% to 30%.
Achieve 75 amount of level ups. This includes all team members, monsters and main characters alike.
Defeat 1,000 or more monsters.
Hatch 5 monster eggs.
Unlock a five star battle rank at the Tutor.
Spend at least 500 Rainbow Coins at the Healer.
Inflict negative conditions on enemy monsters at least 100 times.
Raise the level of any skill to 25 or higher.
Increase the progress of all main quests from 10% to 20%.
Upgrade weapons or equipment by using them in battle 15 times.
Permanently increase any attribute for any characters 10 times using food.
Complete 10% of all quests in the main story.