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.
Catch 160 fish.
Make 25 sun solutions.
Find 60 lost crates and barrels.
Have 350 fame.
Own 5,000 gold coins.
Pick 45 herbs.
Hunt down 65 wild animals.
Gather 40 sacks of night flowers.
Find 300 mushrooms.
Heal five people.
Find 12 treasures.
Find 140 eggs.
Help two ghosts.
Rest 50 times in a camp.
Gather 15 barrels of algae.
Find 12 pearls.
Find father.
Learn an expert skill.
Hunt down 25 wild animals.
Build or repair 10 structures.
Own 500 gold coins.
Find 30 lost crates and barrels.
Catch 80 fish.
Find 25 crayfish.
Become a soldier.
Have 100 fame.
Find 150 mushrooms.
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.