Let's see...

Private mute: snort.social already implemented this along with public block list

Private bookmark: not yet but almost, CMIIW, Nostros implement public bookmark in latest release

Private relay: if you refer to only whitelisted can read and write (not like current paid relay who allow read by everyone) then NIP-42 possible to achieve that

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Discussion

For the privacy issue, i think it has became secondary issue since the inception. Because, at first, nostr design is mainly focused on censorship-resistance protocol.

"The simplest open protocol that is able to create a censorship-resistant global "social" network once and for all." - Nostr Github

But, truly agree that privacy issue should also be addressed properly. :)