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