There is no Registration Directory Service (RDS) opt-out available for .eu domains as the registry (EURID) does not allow it. However, if you register your .eu domain as a private individual, the only publicly accessible data would be your email address. If you register your .eu domain as an organisation, your full details such as name, address and phone number would be publicly accessible.
For further details on how domain privacy works for all domains, check out our support guide.