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