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