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