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.
Went the distance on chocobo-back.
Completed every fragment category.
Defeated a powerful enemy on equal terms.
Defeated every worthy opponent.
Dealt 99,999 damage with a single attack.
Fully developed all abilities.
Befriended a most unfriendly monster.
Spent a fortune at shops.
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.
Defeated a powerful enemy with graceful poise.
Completed an entire fragment category.
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.
Successfully used Feral Link abilities a significant number of times.
Amassed a fortune in casino coins.
Performed a multitude of paradigm shifts.
Defeated a powerful enemy with valiant skill.
Obtained five Cinematic Bonus rewards.
Acknowledged the threat facing the world, and decided to fight back.
Visited the place where clues to the future lie waiting to be discovered.
Visited the place where the saviors of the past dream in crystal.
Left behind a normal life, and began a journey through time.
Responded swiftly to the appearance of enemies.
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.