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