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.
Responded swiftly to the appearance of enemies.
Witnessed every possible Paradox Ending.
Dealt 99,999 damage with a single attack.
Completed every fragment category.
Defeated a powerful enemy with perfect execution.
Befriended a most unfriendly monster.
Defeated every worthy opponent.
Defeated a powerful enemy on equal terms.
Fully developed all abilities.
Went the distance on chocobo-back.
Performed a multitude of paradigm shifts.
Completed an entire fragment category.
Amassed a fortune in casino coins.
Defeated a powerful enemy with valiant skill.
Defeated a powerful enemy with graceful poise.
Obtained five Cinematic Bonus rewards.
Followed the story to its conclusion.
Obtained the highest possible result in the battle to determine the fate of the world.
Spent a fortune at shops.
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.
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.
Performed a significant number of preemptive strikes.
Fought a significant number of battles without using the "Retry" option.
Staggered a significant number of enemies.
Defeated an army's worth of enemies.
Left behind a normal life, and began a journey through time.
Accepted a new fate in a world where everything has changed.