The Binding of Isaac: Afterbirth comes to PS4 next week
Having previously been released on PC, the add-on is finally making its way to consoles. It features the new Greed mode, daily challenges, new room designs, new playable characters, new enemies, four new alternative chapters, and 120 new items, allowing for more combinations and synergies.
The Binding of Isaac: Rebirth was included as part of the Instant Games Collection for PlayStation Plus subscribers. That means that many PS4 owners should have the base game in their collection already.

