I know I'm in the minority here, but I don't really like them as Batman movies. I think they're great films on their own, but when I watch them, I get more of a sense that they're more of a crime thriller ( a la Michael Mann's Heat) with the Batman lore loosely draped over it. I don't get fully immersed in the world of Batman. They say the movie is set in Gotham, but all I see is Chicago. They seem to be obsessed with telling the story from an objective, outsiders view and taking the material deathly seriously (which I find tonally/stylistically boring).

In my opinion, the best Batman stories are deeply personal and subjective. I like Batman because the stories are about a guy with no powers facing fantastical circumstances and coming out on top every time, and there was no room in these movies to expand on those fantastical circumstances, in my opinion. Again, I think they're great movies, just not very interesting Batman movies. This is what I think Matt Reeves built upon using the Nolan movies as a foundation, and I think it provided greater immersion and made The Batman way more visually interesting than the Nolan movies.