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