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