Here is the full list of all 33 PixARK trophies - there are 18 bronze, 9 silver, 5 gold and 1 platinum.
Collect all trophies.
Open a top-level treasure chest.
Reach the level limit.
Tame a Quetzal.
Tame a Sauropod.
Get a Sunken City Brick.
Find a Swamp Ruins and get a Swamp Ruins Brick.
Find a Desert Ruins and get a Desert Ruins Brick.
Find a Grassland Ruins and get a Grassland Ruins Brick.
Find a Frozen Fortress and get a Frozen Fortress Brick.
Collect your first apparel.
Open a beam of light.
Explore the Doom Lands biome.
Get a Mediterranean-style Building Blueprint.
Get a Bamboo-style Building Blueprint.
Get an Executive-style Building Blueprint.
Get a Magic Academy-style Building Blueprint.
Get a Western-style Building Blueprint.
Take them away.
Get any piece of SCUBA equipment.
Kill a Reaper.
Kill a Cyclops.
Kill an Ice Fairy.
Kill a Behemoth.
Kill a Mummy King.
Find a Dark Dungeon Ruins and get a Dark Dungeon Ruins Brick.
Kill a Large Sea Slime.
Explore the Frozen Lands.
Explore the Dark Forest.
Tame your first companion.
First Blood!
Get any piece of lava equipment.
Kill a Rex.