There are the twenty four secret trophies to unlock in Final Fantasy XIII-2 for the PS3.
Anomalous (Silver) – Witnessed every possible Paradox Ending
Beast Tamer (Gold) – Befriended a most unfriendly monster
Big Game Hunter (Silver) – Defeated every worthy opponent
Cerulean Medal (Bronze) – Defeated a powerful enemy with valiant skill
Chronosavior (Gold) – Obtained the highest possible result in the battle to determine the fate of the world
Defragmented (Gold) – Completed every fragment category
Early Riser (Bronze) – Accepted a new fate in a world where everything has changed
Epic Finisher (Gold) – Followed the story to its conclusion
Fair Fighter (Gold) – Defeated a powerful enemy on equal terms
Fragmented (Silver) – Completed an entire fragment category
Future Espier (Bronze) – Visited the place where clues to the future lie waiting to be discovered
Giant’s Fist (Gold) – Dealt 99,999 damage with a single attack
Master of Time (Platinum) – Mastered the timeline and obtained every trophy available
Obsidian Medal (Bronze) – Defeated a powerful enemy with perfect execution
Past Gazer (Bronze) – Visited the place where the saviors of the past dream in crystal
Promise Keeper (Bronze) – Turned your back on empty dreams and joined the battle to save mankind
Saddle Sore (Bronze) – Went the distance on chocobo-back
Scarlet Medal (Bronze) – Defeated a powerful enemy with graceful poise
Serendipitous (Bronze) – Amassed a fortune in casino coins
Sooth Seeker (Bronze) – Prepared to face a test of your determination in the rift where hidden truths slumber
Supreme Being (Silver) – Fully developed all abilities
Threat Facer (Bronze) – Acknowledged the threat facing the world, and decided to fight back
Time Traveler (Bronze) – Left behind a normal life, and began a journey through time
Trigger Finger (Silver) – Obtained five Cinematic Bonus rewards
Check out my other guide for the complete list of unlockable trophies in Final Fantasy XIII-2.