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