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