Here is the full list of all 15 Didgery achievements.
Create 5000 chains
Unlock Nightmare Mode
Keep the Earth from descending into Hell for at least 50 mins
Create a chain that includes more than eight cards
Summon Didgery five times
Unlock an Artifact using a Didgery Summon
Unlock all Forbidden Parchments
Unlock your first Forbidden Parchment
Destroy an entire column of cards
Destroy an entire row of cards
Create a chain consisting of four sevens
Perform your first Holy Explosion
Unlock all Special Cards
Create a chain that includes three special cards
Include all four Kings and all four Queens in a single chain