Sony has outlined the Instant Game Collection's offerings for December on the PlayStation Blog, confirming that Injustice Gods Among Us will be available on PS4 and Deadly Premonition: The Director's Cut will be offered to PlayStation Plus subscribers on PS3.
Injustice is a fighting game which casts players as various DC heroes and villains, while Deadly Premonition is a psychological horror.
The other games included in the IGC for December are the Wild West-themed shooter Secret Ponchos on PS4, PS Vita tower defence game Final Horizon, and Hitman HD Trilogy on PS3.
Those games will be added to the IGC on December 3rd, meaning you have until then to pick up November's offers, which include the Binding of Isaac Rebirth (PS4/Vita), Escape Plan (PS4/Vita), and Luftrausers (PS3/Vita).