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