My government's websites require solving a reCAPTCHA for basic services, which is horrifying. They also use Cloudflare which blocks me sometimes. This is in the EU
ReCAPTCHA due lack of opt out is effectively illegal in the EU.
An example of an inaccessible homebrew CAPTCHA that causes very poor UX can be found on the portal that provides access to the legal acts of the Bulgarian judicial system: https://legalacts.justice.bg/ . Try taking the legal system to court. I tried for this one, you can see for yourself how it went.