Here is the full list of all 39 Final Fantasy XIV: A Realm Reborn trophies - there are 20 bronze, 15 silver, 3 gold and 1 platinum.
Obtain all available FINAL FANTASY XIV: A Realm Reborn trophies.
Complete 1,000 FATEs.
Complete 1,000 levequests.
Fish 1,000 times.
Synthesize 1,000 items as an alchemist.
Successfully affix 100 materia.
Synthesize 1,000 items as a culinarian.
Clear the Binding Coil.
Synthesize 1,000 items as a blacksmith.
Synthesize 1,000 items as a carpenter.
Synthesize 1,000 items as a weaver.
Synthesize 1,000 items as a goldsmith.
Synthesize 1,000 items as an armorer.
Clear 100 instanced raids.
Defeat 10,000 enemies.
Complete 100 guildhests.
Synthesize 1,000 items as a leatherworker.
Complete the main scenario.
Successfully affix materia to an item.
Mine 1,000 mineral deposits.
Participate in PvP.
Log at 1,000 mature trees.
Synthesize an item as an alchemist.
Synthesize an item as a blacksmith.
Fish with your own rod and bait.
Synthesize an item as an armorer.
Synthesize an item as a culinarian.
Synthesize an item as a carpenter.
Clear your first instanced raid.
Log at a mature tree.
Synthesize an item as a leatherworker.
Complete your first guildhest.
Complete your first levequest.
Synthesize an item as a goldsmith.
Synthesize an item as a weaver.
Mine a mineral deposit.
Join a FATE.
Defeat your first enemy.
Complete your first quest.