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