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.
Own 5,000 gold coins.
Find 60 lost crates and barrels.
Destroy the Dark Lord.
Fight 12 battles.
Have 350 fame.
Help two ghosts.
Find 12 treasures.
Find 140 eggs.
Catch 160 fish.
Hunt down 65 wild animals.
Heal five people.
Find 12 pearls.
Find father.
Gather 15 barrels of algae.
Build or repair 10 structures.
Make 25 sun solutions.
Learn an expert skill.
Rest 50 times in a camp.
Hunt down 25 wild animals.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Find 30 lost crates and barrels.
Find 25 crayfish.
Become a soldier.
Find 150 mushrooms.
Have 100 fame.
Catch 80 fish.
Get a boat.
Own 500 gold coins.
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.