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