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