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