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