It's bold, and in many ways it's just my opinion, but having analyzed the ease data access of most developed nations, the French data sources are the only ones I felt like I wasn't missing some basic data in a significant manner. Cadastre is lacking postcode-wise, but it can be easily complemented with the data here [2].
Sibling parent already mentioned BAN, but you can also check cadastre [0] which is the main source of polygon data for France on OpenStreetMap. Under the general subdomain [1] you have access to all sorts of stuff, but geography wise, there are plenty of geotagged aerial photographs, both historical and current. You also have shapefile data for towns, regions, postal codes, you name it.
No shenanigans, all official, verified, and regularly updated.
[0] https://cadastre.data.gouv.fr/
[1] https://data.gouv.fr/
[2] https://datanova.legroupe.laposte.fr/explore/?sort=modified