Every post-SPR WW2 game that's been released has taken quite a bit of influence from it already. Let's just say that Omaha Beach FPS recreations wouldn't be quite the same without it.
With this in mind, I don't think that making a game based on Saving Private Ryan would bring anything all that new to the table, unless Spielberg's got something up his sleeve that possibly involves a more intricate story (I'm sorry, but BiA's weak attempt at a storyline fell flat on its face, so I'm still waiting for a real "plot-based" WW2 shooter).
Although I don't think I ever finished it, I remember thinking very highly of The Dig. I really have no clue on how much involvement Spielberg really had in that project, but I'm going to be optimistic and hope that perhaps he understands the modern gaming world, and maybe even brings back the adventure genre in the process by fusing it with other genres.
But I don't see any of these going anywhere other than FPS if they hope to really capture a cinematic atmosphere.