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