Until recently, big budget video games did their best to mimic interactive blockbuster films, right down to ripping off lines from popular films. Occasionally, I'll see something like the trailer for The Tom Cruise Mummy and feel like one could make a pretty good case that the filmmakers were inspired by stuff in video games (Uncharted 3 in that example), but it's rare.
Once visual effects reached appropriate levels, superhero films worked because they offered something new/different. Video game films don't really do that for the most part.