Here is the full list of all 38 Hero of the Kingdom achievements. It takes around 4-5 hours to unlock all of the achievements on Windows.
Destroy the Dark Lord.
Fight 12 battles.
Have 350 fame.
Catch 160 fish.
Find 12 treasures.
Help two ghosts.
Heal five people.
Hunt down 65 wild animals.
Find 12 pearls.
Find father.
Rest 50 times in a camp.
Pick 45 herbs.
Make 25 sun solutions.
Own 500 gold coins.
Learn an expert skill.
Gather 40 sacks of night flowers.
Build or repair 10 structures.
Gather 15 barrels of algae.
Catch 80 fish.
Hunt down 25 wild animals.
Find 25 crayfish.
Find 30 lost crates and barrels.
Become a soldier.
Find 150 mushrooms.
Get a boat.
Have 100 fame.
Learn an advanced skill.
Finish the water mill.
Learn three skills.
Get a weapon.
Make a barter.
Leave the home farm.
Saw 10 pieces of wood.
Get working tools.
Own 5,000 gold coins.
Find 300 mushrooms.
Find 140 eggs.
Find 60 lost crates and barrels.