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.
Amassed a fortune in casino coins.
Completed every fragment category.
Went the distance on chocobo-back.
Defeated a powerful enemy on equal terms.
Befriended a most unfriendly monster.
Fully developed all abilities.
Defeated a powerful enemy with perfect execution.
Defeated every worthy opponent.
Dealt 99,999 damage with a single attack.
Completed an entire fragment category.
Successfully used Feral Link abilities a significant number of times.
Performed a multitude of paradigm shifts.
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 graceful poise.
Obtained five Cinematic Bonus rewards.
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.
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.
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.