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