Haven't followed comics super seriously in a while but: mainly he fights other supervillains and to be honest they're actually genuinely trying to address this question.

One of the best runs on him in the modern era was the court of owls storyarc, and I think the current line of movies are trying to set it up based on vague info from the promotional material. The short version is (with a bit of interpretation): Batman takes on the old wealth eyes wide shut style gothamites and finds out that his whole run as Batman has been a sort of amusing distraction he has been allowed to engage in because he's never actually challenged the real power and reason for Gotham's suffering. They don't really have him change significantly as a character afterward but they also recently had him lose a ton of wealth so there is a genuine effort to try and square the circle and have Batman still exist and be relevant in a world where its becoming increasingly harder to ignore that the real villain and source of Gotham's plight is Bruce Wayne and his desire to keep living in his adult wonderland where he can play with scifi toys beating up the poor and mentally ill every night rather then address the material conditions that make Gotham the way it is.