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