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