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.
Reach level 99 with any character.
Become the rank S Insectron champion.
Defeat Doppelganger in the Ghost Ship Extreme.
Receive the Key to the Underworld by completing the Seventh Mystery.
Defeat the Demon Battleship.
Upgrade all legendary Seven-Star Swords to their final form.
Win a game of Insectron.
Complete Chapter Twelve.
Complete every Quarry hunt.
Complete Chapter Eleven.
Complete all 36 blueprints in the Factory.
Obtain the Rakshasa Heart item.
Obtain the Mirror of Truth.
Complete Chapter Ten.
Obtain the Earth, Star, and Sun keys.
Complete Chapter Nine.
Inflict over 14,000 damage with a Burning Strike attack.
Reach the top Hunter's Rank.
Complete Chapter Eight.
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.
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.
Disarm a trap set on a treasure chest.