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