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.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Make 25 sun solutions.
Find 140 eggs.
Have 350 fame.
Find 300 mushrooms.
Find 60 lost crates and barrels.
Hunt down 65 wild animals.
Catch 160 fish.
Gather 15 barrels of algae.
Rest 50 times in a camp.
Catch 80 fish.
Heal five people.
Find 12 treasures.
Help two ghosts.
Find 12 pearls.
Find father.
Own 500 gold coins.
Find 25 crayfish.
Find 30 lost crates and barrels.
Learn an expert skill.
Hunt down 25 wild animals.
Build or repair 10 structures.
Become a soldier.
Find 150 mushrooms.
Have 100 fame.
Get a boat.
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.