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.
Clear the Binding Coil.
Defeat 10,000 enemies.
Clear 100 instanced raids.
Complete 100 guildhests.
Fish 1,000 times.
Complete 1,000 levequests.
Complete the main scenario.
Synthesize 1,000 items as a blacksmith.
Successfully affix 100 materia.
Synthesize 1,000 items as a weaver.
Synthesize 1,000 items as an alchemist.
Synthesize 1,000 items as an armorer.
Synthesize 1,000 items as a goldsmith.
Mine 1,000 mineral deposits.
Successfully affix materia to an item.
Synthesize 1,000 items as a culinarian.
Participate in PvP.
Synthesize 1,000 items as a carpenter.
Synthesize 1,000 items as a leatherworker.
Clear your first instanced raid.
Mine a mineral deposit.
Synthesize an item as a weaver.
Synthesize an item as a goldsmith.
Synthesize an item as an alchemist.
Complete your first guildhest.
Complete your first quest.
Synthesize an item as an armorer.
Synthesize an item as a blacksmith.
Log at 1,000 mature trees.
Synthesize an item as a leatherworker.
Synthesize an item as a carpenter.
Log at a mature tree.
Join a FATE.
Synthesize an item as a culinarian.
Fish with your own rod and bait.
Complete your first levequest.
Defeat your first enemy.