It sounds like you're describing an _action_ queue where you can act on objects from any system in one place. Even just a bunch of smarter calendar automations (Google, Microsoft) would be a godsend.
That said, a couple things you didn't mention that struck me:
- Slack's "All Unreads" tab which shows you everything in one place, and "Actions" which lets you turn messages into something else. (Neither of which are killer, just pointing them out.)
- The ecosystem of actions you describe is a seemingly infinite slog of development work to get to the point where a user can auth other apps and have these NLP/CLI actions "just work" and be configurable by an average user.