There are efforts in those directions:

https://delta.chat/en/ implements encrypted IM over email.

https://jmap.io/spec-calendars.html is the calendaring spec for IMAP's likely successor

https://webfinger.net/ is the (appallingly named) http protocol for finding named people such that social connections can be made and managed. Some extensions exist for services that commonly run with email that provide webfinger services.