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