Here is the full list of all 32 Final Fantasy XIII-2 trophies - there are 19 bronze, 6 silver, 6 gold and 1 platinum.
Mastered the timeline and obtained every trophy available.
Witnessed every possible Paradox Ending.
Completed every fragment category.
Followed the story to its conclusion.
Obtained the highest possible result in the battle to determine the fate of the world.
Defeated a powerful enemy with perfect execution.
Befriended a most unfriendly monster.
Amassed a fortune in casino coins.
Turned your back on empty dreams and joined the battle to save mankind.
Prepared to face a test of your determination in the rift where hidden truths slumber.
Fully developed all abilities.
Defeated a powerful enemy on equal terms.
Dealt 99,999 damage with a single attack.
Defeated every worthy opponent.
Completed an entire fragment category.
Defeated a powerful enemy with valiant skill.
Obtained five Cinematic Bonus rewards.
Acknowledged the threat facing the world, and decided to fight back.
Spent a fortune at shops.
Visited the place where the saviors of the past dream in crystal.
Went the distance on chocobo-back.
Successfully used Feral Link abilities a significant number of times.
Visited the place where clues to the future lie waiting to be discovered.
Defeated a powerful enemy with graceful poise.
Left behind a normal life, and began a journey through time.
Responded swiftly to the appearance of enemies.
Performed a multitude of paradigm shifts.
Performed a significant number of preemptive strikes.
Fought a significant number of battles without using the "Retry" option.
Defeated an army's worth of enemies.
Staggered a significant number of enemies.
Accepted a new fate in a world where everything has changed.