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