There is nothing like bulletproof hosting first of all.
Offshore or DMCA ignored hosting services exists but they are limited to a certain limit.
You can't run Dr*g or ch*ld por* sites and then assume nobody can take you down
If you have normal sites, adult sites, gambling or movie streaming sites then there is no problem to find hosting services for them.
Here are some tips on how to make sure you remain anonymous while running sites -
1. Make sure you don't use your personal information to buy or register
2. Pay only using crypto wallet. For an additional layer of security use this wallet only once for this transaction.
3. Don't put contact details on your website that make you easily identifiable
4. When you put content block certain geos using cloudfare assuming you get the most attacks or DMCA takedowns.
Lastly, please don't believe anyone who claims they are bulletproof because if they were bulletproof then for hosting illegal websites darkweb won't exist