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