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 60 lost crates and barrels.
Find 300 mushrooms.
Rest 50 times in a camp.
Have 350 fame.
Find 140 eggs.
Catch 160 fish.
Heal five people.
Own 5,000 gold coins.
Find 12 treasures.
Help two ghosts.
Hunt down 65 wild animals.
Find 12 pearls.
Make 25 sun solutions.
Find father.
Learn an expert skill.
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.
Find 150 mushrooms.
Have 100 fame.
Gather 15 barrels of algae.
Catch 80 fish.
Get a boat.
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.