Here is the full list of all 35 Rogue Galaxy trophies - there are 19 bronze, 10 silver, 5 gold and 1 platinum.
Unlock all trophies.
Upgrade all legendary Seven-Star Swords to their final form.
Become the rank S Insectron champion.
Defeat Doppelganger in the Ghost Ship Extreme.
Reach level 99 with any character.
Win a game of Insectron.
Receive the Key to the Underworld by completing the Seventh Mystery.
Defeat the Demon Battleship.
Inflict over 14,000 damage with a Burning Strike attack.
Complete all 36 blueprints in the Factory.
Complete Chapter Twelve.
Reach the top Hunter's Rank.
Complete every Quarry hunt.
Complete Chapter Eleven.
Complete Chapter Ten.
Obtain the Earth, Star, and Sun keys.
Complete Chapter Nine.
Complete Chapter Eight.
Obtain the Rakshasa Heart item.
Obtain the Mirror of Truth.
Learn a level three ability with Jaster.
Complete Chapter Seven.
Complete Chapter Six.
Complete Chapter Five.
Assemble your first item in the factory.
Complete Chapter Four.
Disarm a trap set on a treasure chest.
Complete Chapter Three.
Change a character into an alternate outfit.
Use Toady to synthesize a new item.
Complete Chapter Two.
Succesfully execute a Burning Strike attack.
Defeat a Mimic.
Complete Chapter One.
Kill 10 enemies with thrown objects.