Here is the full list of all 31 Final Fantasy XIII-2 achievements. It takes around 50-60 hours to unlock all of the achievements on Windows.
Responded swiftly to the appearance of enemies.
Amassed a fortune in casino coins.
Witnessed every possible Paradox Ending.
Obtained the highest possible result in the battle to determine the fate of the world.
Completed every fragment category.
Dealt 99,999 damage with a single attack.
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 graceful poise.
Defeated every worthy opponent.
Followed the story to its conclusion.
Defeated a powerful enemy with perfect execution.
Turned your back on empty dreams and joined the battle to save mankind.
Performed a multitude of paradigm shifts.
Prepared to face a test of your determination in the rift where hidden truths slumber.
Spent a fortune at shops.
Completed an entire fragment category.
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 clues to the future lie waiting to be discovered.
Successfully used Feral Link abilities a significant number of times.
Visited the place where the saviors of the past dream in crystal.
Performed a significant number of preemptive strikes.
Staggered a significant number of enemies.
Defeated an army's worth of enemies.
Left behind a normal life, and began a journey through time.
Fought a significant number of battles without using the "Retry" option.
Accepted a new fate in a world where everything has changed.