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