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