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