While the Playstation 4 is not natively backwards compatible, Sony has long said that you will be able to stream (and play) PS3 games on your PS4 using its Gaikai cloud-gaming service.
Well just last week at the Tokyo Game Show, Shuhei Yoshida announced that the first batch of streamable Playstation 3 games will soon be added to the service. Not only will the games be playable on PS4 though, but you’ll also be able to enjoy them on your Vita and Vita TV.
Yoshida-san said that a “decent number” of games will be playable via the service once it is up and running, and that the plan is to add more titles over time.
One caveat is that there’s still no concrete word on when the service will be available. All Sony have said so far is 2014 for the United States… and poor old Europe does not yet have an ETA.