Interstellar and The Martian. Expect overly obvious references to both, especially line drops of "There is no time for caution" and "I am going to science the **** out of this".
As to Interstellar, I suppose the time dilation and urgency of picking one planet vs. another to survey for colonization is out of the question because video game, like all the other video games. It would've been interesting, though.
Thinking of a very small part of Interstellar, I wonder why there isn't a drone to use, or even just binoculars, if you're going to plan an attack. In MGS, Snake has solid binoculars, or the MK II. In Splinter Cell: Blacklist, Sam Fisher has a drone. In ME3, Liara has an info drone, which could be modified. So should the new ME:A allow the characters to preview what lies ahead rather than just jump out of the Mako and launch themselves recklessly at the enemy using a jetpack? Millions of ways to die in the west, I guess.
That line from The Martian, sure, why not? It's pretty much Jesse from Breaking Bad right there ("Yeah science, b****!"). Other than that, I'd say The Martian has about as much chance at bearing a significant influence on the game as Gravity or Prometheus does.
But speaking of Jesse and Breaking Bad, now I'm wondering if Red Sand will make a return. And if it does, how much of an influence would Breaking Bad have on its representation. Hmm...
And if they do the ark thing, will it be like Alien/Prometheus/Battlestar: Galactica, in which some (or a single) characters are actually AI but we don't discover that until much later, and if they are AI could they be working against us like in those movies/show, perhaps even on behalf of Cerberus? I'm not sure we've had a squadmate who we build up but who ultimately stabs us in the back. Miranda was the closest thing to that, but there must be richer possibilities, here. Not everyone can be good, no matter how much loyalty you build. Sure, you can betray others like Wrex, but what about them betraying you? At least, I hope an AI will have an independent spirit and difficult to distinguish from organics, perhaps like in Ex Machina.