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