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