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