One of the pirate bay founders created https://njal.la/#home but with the caveat:

For instance, when you register a domain name in our system, we can register with our own data. We will be the actual registrant of the domain -- it's not an ownership by proxy as found with all other providers. However, you will still have the full control over the domain name. You can either use our information (and our nameservers) or you can go with your custom data. And you can move at any time. Simple, flexible.

I believe it is required (ICANN?) to have a real entity attached to every domain, even with a proxy for the public whois. They simply offer to be that identity to avoid giving any identifying information, but they will have all claim on it if it came to a legal dispute.

If you care about keeping your domain enough that you don't want there to be an excuse for someone to take it from you, then you use your real info, and choose a registrar that only exposes a proxy contact in your WHOIS entry.

If you don't care about losing your domain, then you can use fake contact info.

Yes, don't want my domain to be removed/suspended.

The info is hidden from the public since every registrar should include domain privacy for free.

Can also use something like Njalla where they register and hold the domain for you and give you access to it.

i do. i use https://www.nearlyfreespeech.net/ as their promise is 'by subpoena only' on personal info.

its actually a smaller outfit run by a bunch of linux geeks.. you pay for what you actually use. been my goto for more than 15 years

There are registrars that allow the info to be redacted from public WHOIS.

Unless the registrar accepts cryptocurrencies as a payment, there's no anonymous way to set up a domain. Even if you fill fake information, you'd still need to use a credit card or bank account that'll disclose personal info (such as full name, billing address, etc).

I'd give fake information whenever possible.

My domain is my name so I am not too worried about that, but for the address I use a PO Box and the domain registrars domain privacy service to hide the details.

Seeing as my homelab domain is literally {first name}{last name}.{country I live in} I didn't really care :P

Only if it’s 25 years ago. Today? Never.

Strong no.

I use the name Johnny Incognito on everything I register, has not been a problem with namecheap. If you want to follow the rules then you should use your real name but its not like they are gonna ask to see ID or care at all unless you have something else going on to draw attention to it.