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.
Amassed a fortune in casino coins.
Witnessed every possible Paradox Ending.
Completed every fragment category.
Obtained the highest possible result in the battle to determine the fate of the world.
Went the distance on chocobo-back.
Responded swiftly to the appearance of enemies.
Defeated a powerful enemy on equal terms.
Fully developed all abilities.
Befriended a most unfriendly monster.
Obtained five Cinematic Bonus rewards.
Defeated every worthy opponent.
Spent a fortune at shops.
Successfully used Feral Link abilities a significant number of times.
Defeated a powerful enemy with valiant skill.
Dealt 99,999 damage with a single attack.
Followed the story to its conclusion.
Completed an entire fragment category.
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.
Performed a multitude of paradigm shifts.
Acknowledged the threat facing the world, and decided to fight back.
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.
Performed a significant number of preemptive strikes.
Defeated a powerful enemy with graceful poise.
Staggered a significant number of enemies.
Fought a significant number of battles without using the "Retry" option.
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.