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