It’s a superhero/comic-book film that doesn’t work to the normal stereotypes. Most importantly, it’s one where you don’t need to have seen any of the other X-Men or Wolverine films before seeing Logan. It’s more a stand-alone film that just happens to occupy the same space as some of those movies.
In many ways it’s actually more of a Western than a superhero film, and that’s no bad thing in my book. They make a lot of connections with Shane, but it could just as easily have been Unforgiven. There’s a kind of bitterness to the whole film, both an anger at getting old, and an acknowledgement that it’s happened – and also a huge sadness about it.
In the case of both of the major characters, age is hitting the things they’re most valued by – Charles Xavier, always valued for his intelligence/genius, is suffering from dementia (among other things), and Logan’s regenerative ability is fading, leaving him sore, scarred, and hurting in ways he’s never had to get used to.
The next generation is ably served by Laura (AKA X-23), played by Dafne Keen, who is frankly awesome. She doesn’t speak for the greater part of the film, but the emotion and feeling she conveys in a glare and an eyebrow is nothing short of stunning.
Obviously, if you hate superhero and comic-book films, Logan won’t change your opinion. If you’re open to them, it’s one that is well worth seeing.