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