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