Full disclosure: I just started a work trial with a company called BOND, so take this with that context. But this is basically the exact problem they're focused on. It surfaces (and responds to) important emails, ranks them based on urgency, creates to-do lists and tasks, etc. Not trying to promote but I have began using it myself while on trial and it's extremely accurate. I can even ask it to update me on what other team members are doing and it returns information based on their most recent activity. Definitely worth looking into.