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.
Rest 50 times in a camp.
Catch 160 fish.
Find 300 mushrooms.
Gather 40 sacks of night flowers.
Pick 45 herbs.
Find 60 lost crates and barrels.
Make 25 sun solutions.
Hunt down 65 wild animals.
Have 350 fame.
Find 12 treasures.
Find 140 eggs.
Help two ghosts.
Heal five people.
Catch 80 fish.
Find 12 pearls.
Find father.
Learn an expert skill.
Build or repair 10 structures.
Find 25 crayfish.
Find 30 lost crates and barrels.
Hunt down 25 wild animals.
Gather 15 barrels of algae.
Get a boat.
Have 100 fame.
Become a soldier.
Find 150 mushrooms.
Own 5,000 gold coins.
Own 500 gold coins.
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.