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.
Completed every fragment category.
Befriended a most unfriendly monster.
Defeated a powerful enemy on equal terms.
Defeated a powerful enemy with perfect execution.
Fully developed all abilities.
Went the distance on chocobo-back.
Defeated every worthy opponent.
Obtained the highest possible result in the battle to determine the fate of the world.
Amassed a fortune in casino coins.
Dealt 99,999 damage with a single attack.
Spent a fortune at shops.
Completed an entire fragment category.
Followed the story to its conclusion.
Performed a multitude of paradigm shifts.
Turned your back on empty dreams and joined the battle to save mankind.
Successfully used Feral Link abilities a significant number of times.
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.
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.