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