In the PDOK viewer linked above you can enable the "Adressen" layer[1] and it will show markers on everything that has an address. Everything that has an address has a postal code, which is listed in the details if you click the address. (There might be an exception with an address but no postal code somewhere, I'm not sure, but not here.)

[1]: https://app.pdok.nl/viewer/#x=124175.54&y=471068.96&z=11.290...