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