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