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