Newsarama has published a roundup of the most plausible science fiction movies (hint: none of them involve FTL).

Gattaca (1997)
In the not-too-distant future world of Gattaca, children’s genes are pre-selected by their upper-class parents for the best traits; those babies whose genes are imperfect are treated as second-class citizens. Today DNA analysis is common, and several companies offer genetic testing for as little as a few hundred dollars. Genetic profiling? Health insurance companies potentially denying claims based on genetic predisposition to a disease? For many, this fear is not science fiction but science fact.

By “plausible” I think they just mean “uses technology close to what we’ve got now” rather than “likelihood of this happening.” One of the movies listed is Jurassic Park, and while yes, we can extract DNA from ancient sources and yes, we can replicate that DNA, I don’t think that automatically translates into “we’re in imminent danger of becoming T. rex kibble.” Still, that’s probably more plausible than The Matrix.