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