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