Sorry if I wasn't clear enough. I meant are there any games such as Superman Returns PS2 or Catwoman PS2 that are already canon to the ArrowverseThose are adaptations of the stories.
If Injustice was canon, than:
Injustice: Gods Among Us
Injustice 2 Superman ending for IvMotU
Injustice: Gods Among Us: Year One-Five
Injustice: Gods Among Us: Year One-Five Annuals
Injustice: Ground Zero
Injustice vs Masters of the Universe