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.
Win 100 prizes of category B or better.
Unearth at least 50 buried treasures.
Complete 75% of the item encyclopedia.
Increase the progress of all main quests from 90% to 100%.
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.
Increase the progress of all main quests from 70% to 80%.
Discover 30 different fish.
Expand a skill pattern of any skill 30 times.
Increase the progress of all main quests from 60% to 70%.
Purchase 100,000 coins worth of items from any merchant.
Increase the progress of all main quests from 50% to 60%.
Find and collect at least 150 items that can be picked or collected in the world.
Find a total of 25 Moon Trophies.
Use and study 40 magic books.
Survive 100 game days in the world of Lunah. (Defeats are permitted.)
Upgrade any piece of equipment to '+5' by using crystals.
Catch at least 75 fish.
Complete 50 or more optional side quests. Repeatable quests only count once!
Increase the progress of all main quests from 40% to 50%.
Completely explore 40 areas. (100%)
Increase the progress of all main quests from 30% to 40%.
Discover and explore at least 20 optional areas or dungeons.
Achieve 75 amount of level ups. This includes all team members, monsters and main characters alike.
Increase the progress of all main quests from 20% to 30%.
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.
Hatch 5 monster eggs.
Eat 50 of any food to do more damage in battle.
Steal at least 100 items from monsters.
Unlock a five star battle rank at the Tutor.
Raise the level of any skill to 25 or higher.
Spend at least 500 Rainbow Coins at the Healer.
Defeat 1,000 or more monsters.
Inflict negative conditions on enemy monsters at least 100 times.
Increase the progress of all main quests from 10% to 20%.
Achieve sales level 2 in any shop.
Upgrade weapons or equipment by using them in battle 15 times.
Complete 10% of all quests in the main story.
Permanently increase any attribute for any characters 10 times using food.
Defeat all of the monsters from the quest 'Monsters Everywhere.'