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