I used to have this same problem when I would play games a lot! One thing that I loved to do was to meditate on my awareness while I was playing the game. I could still pretend I was the character, I was just passing more attention to all of the little details in the game, relaxing, clearing my mind, and pretending that I was dreaming right then. I really enjoyed it, and it was great practice for meditation since I used to play games so much.