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