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