Hi @leferg , great idea! Currently, you can add more view tabs by clicking on the + on the right of Inbox, Archive and using filters. I think you will be able to filter for a few of the things on your list and create a tab for each, perhaps, until your feature request is released.
I’ve added it to the English Forum > Product Feedback category so you can now vote on it.
PS: there is this existing thread which is similar:
If you would like to make this one more specific to grouping by custom field changes or type (status update or measages) I could update the title for you.