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