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