Here's a study with a sample comparing 596,618 vaccinated matched with the same number of unvaccinated people by my own healthcare provider:

https://www.nejm.org/doi/full/10.1056/nejmoa2101765

This healthcare provider is able to follow up on people with detail for a really long time - they are notified of any vaccination, PCR test result, hospitalization and death within the country. They've likely made it possible to calculate the same data for the current day within a moment's notice, and use this information for quick decision-making.

I would expect other healthcare providers in other countries to have pooled this information if they are able to do so (and possibly publish it too).