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