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