Here is the full list of all 8 Prisoner achievements.
Completed the first day.
Finished the Skulls of the Day puzzle
Finished the Skulls of the Night puzzle
Find all of Kuchisake-Onna's tools
Recover Futakuchi-Otoko's food stash
Retrieve Hannya's Mask
Manage to steal Joro-Gumo's food
Finish the game