Here is the full list of all 57 Hero of the Kingdom III achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Achieve 140 fame.
Defeat Earthquaker.
Get the lockpicking skill to 100.
Get the combat skill to 100.
Mine 50 pieces of silver ore.
Cook 8,000 food.
Make 600 various potions.
Pick 60 locks.
Hunt down 150 wild animals.
Visit the Azure Valley.
Get the smithing skill to 100.
Make 80 weapons or shields.
Destroy all of the orc camps.
Find 400 eggs.
Get the mining skill to 100.
Kill 300 monsters.
Find 24 pearls.
Get the cooking skill to 100.
Get the archery skill to 100.
Find 120 lost crates and barrels.
Get the fishing skill to 100.
Pick 300 flowers.
Find 800 mushrooms.
Mine 50 pieces of iron ore.
Get the herbalism skill to 100.
Make 100 healing potions.
Hunt down 20 foxes.
Pick 15 locks.
Make 10 swords.
Achieve 70 fame.
Catch 100 fish.
Learn the mining skill.
Learn the smithing skill.
Visit the Gray Valley.
Have at least 1,000 strength.
Get the alchemy skill to 100.
Cook 2,000 food.
Gather 100 berries.
Catch a golden fish.
Learn the lockpicking skill.
Kill 150 monsters.
Have at least 100 strength.
Have 5,000 gold coins.
Save the mayor of the Yellow Valley.
Learn the herbalism skill.
Hunt down 20 rabbits.
Have 1,000 gold coins.
Find 30 lost crates and barrels.
Find 6 pearls.
Find 100 eggs.
Learn the alchemy skill.
Find 200 mushrooms.
Visit the Yellow Valley.
Kill 50 monsters.
Find some treasure.
Learn the fishing skill.
Learn the cooking skill.