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.
Defeated a powerful enemy on equal terms.
Performed a multitude of paradigm shifts.
Fully developed all abilities.
Befriended a most unfriendly monster.
Defeated every worthy opponent.
Went the distance on chocobo-back.
Dealt 99,999 damage with a single attack.
Successfully used Feral Link abilities a significant number of times.
Amassed a fortune in casino coins.
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.
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.
Completed an entire fragment category.
Responded swiftly to the appearance of enemies.
Defeated a powerful enemy with valiant skill.
Obtained five Cinematic Bonus rewards.
Performed a significant number of preemptive strikes.
Acknowledged the threat facing the world, and decided to fight back.
Spent a fortune at shops.
Staggered a significant number of enemies.
Fought a significant number of battles without using the "Retry" option.
Defeated an army's worth of enemies.
Visited the place where the saviors of the past dream in crystal.
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.
Accepted a new fate in a world where everything has changed.