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