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