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