For example, all the major sites that allow the total of 1 active TotP authenticator app - trying to add one forces to delete the other. Which is fine while you have only one phone and aren't in the process of switching to another one.
The annoying thing is so many services don't even support TOTP. They either want their own proprietary app, still insist on SMS, some of them even try to get you to use voice prints!
It's the same answer when someone asks 'how am I supposed to have a different password for every site' and 'how am I supposed to remember a password of X+ characters.' Use a password manager. Pretty sure every major one supports passkeys by now.
ETA: Well I do use auto-fill in browsers/mobile, but funny thing about this, I have three running on my phone[0], they all activate at the same time, and they contain mostly non-overlapping set of credentials, and I got tired of trying to sync them together, so I just look up passwords manually one by one in each and use clipboard to transfer the credential once I find it.
And I had to stop using passkeys because they interact with this split-brain system in unpredictable ways.
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[0] - Specifically: Google Password Manager / Google Autofill / whatever they call it, Samsung Pass / Samsung Wallet (they're sort of but not the same?), and auto-fill built into Firefox.
I have a "Family" group in my Passwords app where I share passwords and passkeys with family members for exactly this purpose.