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