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