You can’t do that. If you think you can, you haven’t tried recently.
They all require phone numbers, and they almost all require phone numbers tied to ID-based names. They require CC even when you aren’t buying stuff. It’s very difficult even for experts to achieve truly pseudonymous use.
A prepaid SIM or burner phone can still be purchased no? I believe the CC requirement can be bypassed if you create your Apple ID from trying to "purchase" a free app (or for the accounts that do require payment, I wonder if a gift card can be used).