List of all FIR and their authorities Wikipedia has this page https://en.wikipedia.org/wiki/Flight_information_region containing a table of all FIR (with ICAO codes) and their respective authority countries.

Is there any place where I can download an updated list like this one as a CSV file (or XML)?

I need to do some automatic calculation of overflight costs. For that I have a set of calculation formulas from IATA, but they are based on authority country, and my input is based on the FIR, that the actual flight is passing through. Therefore I need some way to find the authority country for each specific FIR.

I would prefer somehow to be able to automatically download a fresh list once in a while. I'm not yet sure, how often these data might change.
For posterity, I found what I needed here: https://www.icao.int/safety/istars/pages/api-data-service.aspx

They currently have 58 datasets. The one satisfying my needs is "Flight Information Regions - Names".

When registering for an API key, I am allowed to do 100 requests for free each month. Downloading the entire list counts as 1 request. So the way I read it, I am complying with their EULA. If I'm wrong, please comment.