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