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