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