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