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