Here is the full list of all 27 Persephone achievements worth 1,000 gamerscore.
You have finish Demeter last level without using the teleporter
You have finished the fourth chapter of the Demeter story
You have finished all Demeter secret levels
You have finished finish Cerberus level
You have finished the third chapter of the Demeter story
You have finished the second chapter of the Demeter story
You have died right after pushing a box on from breaking ground
You have finished the Hades story
You have finished the first chapter of the Demeter story
You have moved a puppet in its trap
You have finished a Demeter secret level for the first time
You have accessed a Demeter secret level
You killed the plant boss
You have finished all Persephone secret levels
You have destroyed a stone statue into a spike trap
You have finished the plant boss level without killing it
You have finished the fifth chapter of Persephone
You have finished the fourth chapter of Persephone
You have finished the third chapter of Persephone
You have slip out of a level
You have Finished the second chapter of Persephone
You have died 100 times
You have finished a Persephone secret level for the first time
You have accessed a Persephone secret level
You have finished the first chapter of Persephone
You have die on an activator
You have walk over a spike hole