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.
Own 5,000 gold coins.
Catch 160 fish.
Gather 15 barrels of algae.
Have 350 fame.
Hunt down 65 wild animals.
Rest 50 times in a camp.
Make 25 sun solutions.
Gather 40 sacks of night flowers.
Find 12 treasures.
Find 60 lost crates and barrels.
Pick 45 herbs.
Find 300 mushrooms.
Help two ghosts.
Find 140 eggs.
Heal five people.
Find 12 pearls.
Find father.
Build or repair 10 structures.
Learn an expert skill.
Own 500 gold coins.
Catch 80 fish.
Hunt down 25 wild animals.
Find 30 lost crates and barrels.
Find 25 crayfish.
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.