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.
Amassed a fortune in casino coins.
Befriended a most unfriendly monster.
Defeated a powerful enemy on equal terms.
Witnessed every possible Paradox Ending.
Completed every fragment category.
Obtained the highest possible result in the battle to determine the fate of the world.
Dealt 99,999 damage with a single attack.
Defeated a powerful enemy with graceful poise.
Fully developed all abilities.
Defeated every worthy opponent.
Performed a multitude of paradigm shifts.
Went the distance on chocobo-back.
Completed an entire fragment category.
Followed the story to its conclusion.
Defeated a powerful enemy with perfect execution.
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.
Defeated a powerful enemy with valiant skill.
Obtained five Cinematic Bonus rewards.
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 the saviors of the past dream in crystal.
Performed a significant number of preemptive strikes.
Visited the place where clues to the future lie waiting to be discovered.
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.