Extremely relevant believe it or not. It might not seem like it, but if you take a minute to take in what's happening around you in the world and look at current events, you'll see we're definitely heading down one of many possible dark roads. War, global warming, energy and economic crises - it's all happening now if not soon to come and what do we do? Hide behind the covers and continue to ignore everything by watching movies. TV and every other form of entertainment we can get our hands on. That's were the dystopian theme fits in the media, because it reminds us that we shouldn't hide and ignore the problems of the future.
Dystopias might not seem like abundantly happy movies, but that's because they're not meant to be; they reflect what could, if not, should happen to us as a result of our destructive and selfish nature if we continue on the path we're headed on. Yes there are some movies where the concepts are a little too extreme to imagine them actually happening (mostly because of the science-fiction aspect), but like all stories they are based on some sort of truth. No matter how far off the idea may seem, the purpose of it is to wake us up and focus on the bigger long term picture rather than basking in the short term of the here and now.
Christopher Nolan's 'Interstellar' for example has a compellingly relevant ideology as to what might happen in the near distant future. The world that has come to be is in ruins because of our actions and it so far beyond saving that we have to go find another habitable world in another galaxy to call home because we destroyed our birthplace. Not cool. One thing mentioned in the trailer as part of the plot is that there is no food anymore. This could be because currently the total human population is over 7 billion. That's a lot; and it's not to say that it is wrong to have kids or to save as many people as we can, but there is such a thing as too much of a good thing. Now hear me out, for example, as much as sex is an enjoyable thing, if people aren't planning on raising a child, then they shouldn't risk it only so that the 'unwanted' child will unnecessarily end up as one of millions of orphans or something along those lines.
As morbid as it sounds, the near extinction of humanity could happen because we abuse our natural rights, don't think ahead and most significantly refuse to accept this. The purpose of the dystopian genre and movies like these I think are so that we can realise we need to change our ways before it's too late.
Think about it for a second. When has there ever been a happy ending to a dystopian movie? Sure humanity might win or survive another day, but they still live in an undesirable world.
Whenever you do something that you regret, you wish more than anything in the world that you could wind back time, but unfortunately you have to live with it. Think of dystopian movies like a future regret.