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