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.
Successfully used Feral Link abilities a significant number of times.
Responded swiftly to the appearance of enemies.
Went the distance on chocobo-back.
Performed a multitude of paradigm shifts.
Defeated a powerful enemy on equal terms.
Witnessed every possible Paradox Ending.
Dealt 99,999 damage with a single attack.
Completed every fragment category.
Befriended a most unfriendly monster.
Defeated every worthy opponent.
Fully developed all abilities.
Obtained the highest possible result in the battle to determine the fate of the world.
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.
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.
Defeated a powerful enemy with graceful poise.
Performed a significant number of preemptive strikes.
Fought a significant number of battles without using the "Retry" option.
Defeated an army's worth of enemies.
Staggered a significant number of enemies.
Left behind a normal life, and began a journey through time.
Accepted a new fate in a world where everything has changed.