Here is the full list of all 13 Past Cure achievements worth 1,000 gamerscore. It takes around 6-8 hours to unlock all of the achievements on Xbox One.
Kill 3 agents in one shot.
Complete 3 full combo's that kill enemies within 10 seconds.
Take the black pill and defeat Amos.
Retrieve the black pill.
Kill 5 agents in a row while in slow motion.
Escape the prison dead or alive.
Get the contents of Dr. Fletcher's suitcase and unlock every safe.
Make your way up to the lobby.
Kill an agent that sees you before he can call for help.
Clear the level "Past Secrets."
Clear the level "Sleepless Nights."
Clear the level "My Personal Battlefield."
Kill 25 porcelain figures in your nightmare.