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 140 eggs.
Find 300 mushrooms.
Own 5,000 gold coins.
Find 60 lost crates and barrels.
Hunt down 65 wild animals.
Help two ghosts.
Rest 50 times in a camp.
Destroy the Dark Lord.
Fight 12 battles.
Catch 160 fish.
Find 12 pearls.
Find 12 treasures.
Make 25 sun solutions.
Gather 40 sacks of night flowers.
Pick 45 herbs.
Have 350 fame.
Gather 15 barrels of algae.
Heal five people.
Find father.
Build or repair 10 structures.
Own 500 gold coins.
Learn an expert skill.
Find 30 lost crates and barrels.
Find 25 crayfish.
Catch 80 fish.
Get a boat.
Hunt down 25 wild animals.
Become a soldier.
Have 100 fame.
Find 150 mushrooms.
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.