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