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