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