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