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