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.
Make 25 sun solutions.
Find 300 mushrooms.
Help two ghosts.
Catch 160 fish.
Heal five people.
Have 350 fame.
Find 12 pearls.
Hunt down 65 wild animals.
Find 12 treasures.
Find 60 lost crates and barrels.
Find 140 eggs.
Find father.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Build or repair 10 structures.
Find 25 crayfish.
Become a soldier.
Learn an expert skill.
Find 30 lost crates and barrels.
Hunt down 25 wild animals.
Find 150 mushrooms.
Gather 15 barrels of algae.
Catch 80 fish.
Get a boat.
Have 100 fame.
Rest 50 times in a camp.
Finish the water mill.
Learn an advanced skill.
Own 5,000 gold coins.
Own 500 gold coins.
Learn three skills.
Get a weapon.
Make a barter.
Leave the home farm.
Saw 10 pieces of wood.
Get working tools.