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