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