Here is the full list of all 48 Path of Exile trophies - there are 34 bronze, 11 silver, 2 gold and 1 platinum.
Reach level 90.
Have 60 Minions at the same time.
Kill Atziri in the Apex of Sacrifice.
Create an item with six linked sockets using an Orb of Fusing.
Defeat The Elder.
Complete the Eternal Labyrinth.
Kill Izaro and have him drop 3 treasure keys.
Corrupt an Essence monster with a Remnant of Corruption.
Corrupt a map to have eight mods.
Have a Skill Gem reach level 20.
Reach level 80.
Kill Argus.
Fully clear an end-game Map area.
Equip a Unique Jewel with a radius.
Use an orb to change the mods of a Strongbox.
Hand in a Full Set of Divination Cards to Tasuni.
Complete Part 2.
Complete every side-quest as one character.
Obtain every god power.
Kill the Depraved Trinity.
Kill Lunaris and Solaris.
Kill Arakaali, Spinner of Shadows.
Allocate a Keystone Passive Skill.
Kill T'soagoth, the Brine King.
Complete Part 1.
Kill Malachai, The Nightmare.
Kill High Templar Dominus.
Have at least 75% resistance to Fire, Cold, and Lightning.
Freed the Scion.
Choose an Ascendancy class.
Complete the Labyrinth.
Vanquish the Vaal Oversoul.
Corrupt an item to have a new implicit mod.
Equip a Rare or Unique item in every non-Flask slot.
Kill Merveil, the Siren.
Equip a Unique item.
Obtained every trophy.
Tag every waypoint as one character.
Discover all environmental lore as one character.
Complete a map that is affected by 10 or more mods.
Have a Voidstone socketed in your Atlas.
Have two Voidstones socketed in your Atlas.
Have three Voidstones socketed in your Atlas.
Complete every map on the Atlas.
Kill Beidat, Archangel of Death.
Kill Atziri in the Alluring Abyss.
Kill every Breachlord.
Kill the Shaper.