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