The first party exclusives kinda do at this point. They're all cinematic third person action games and then some of em also are in the genre of post-apocalypse.
Pushing everything into a "3rd person action game" does not mean a lack of diversity (Spiderman, Days Gone, Tearaway and The Last Guardian being a few examples of completely different gameplays from 3rd person perspective) - and you're talking about the company that fully supports completely unique console experiences like VR as well as the completely 'open' creativity space of Dreams.
I'd like to know of this great diversity of games the Xbox offers, Gears, Halo and State of Decay maybe? What else that makes it do far more diverse than PlayStation?