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