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