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