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