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