Here is the full list of all 39 Rogue Heroes: Ruins of Tasos achievements.
Defeat Necrosaur
Destroy 500 monsters
Defeat Rhizomorph, Guardian of Welestar Chamber
Collect 10,000 total Gems
Ride in a Croaker in Crumwell Swamp
Defeat Koleoptera, Guardian of Terakar Keep
Spend 5,000 total Gems
Collect 1,000 total Gems
Catch a fish
Build 10 buildings
Build 5 buildings
Die and be resurrected
Acquire the Book of Beasts from Nik
Build Griff's Workshop
Block 100 projectiles with the shield
Build all buildings
Collect all Power Spheres
Record all enemies in the Book of Beasts
Break 500 pots
Cut down 500 bushes
Collect all classes
Bust up 100 crates
Open 200 chests
Dig up 20 buried objects
Light 100 torches
Harvest 50 crops
Collect all equipment
Stop the lava flow in the Overgrowth
Stop the blizzard on Mount Sekoset
Collect 100,000 total Gems
Spend 50,000 total Gems
Spend 150,000 total Gems
Catch all fish types
Open all Shortcut Ramps
Collect acorns for Evie
Defeat Kaimieror, Guardian of Fyrotek Castle
Defeat Glaciostraza, Guardian of Kryomar Temple
Defeat Omega Titan and save Tasos
Reach floor 25 in the Endless Abyss