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