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