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