When will categorize be added for reports, records and task reports?

You can put multiple reports on a page and with dynamic SAIL, you can allow your users to pick what they want to see so they aren't seeing everything at the same time (and not loading everything when not needed).
So, one idea is to create the categories you mention as your report listing.
Then in each report page, provide a drop down that allows the user to select the report that they want to see. This will allow you to categorize and easily navigate between the reports in one click (or one change in the drop down).
Hope that helps!

Also, for record categorization a you can consider using related records.
For task categorization, you can create task reports using in memory reports and the a Report to SAIL plugin.

Not sure your specific use cases, but here are some basic design options for you to start with.

Hope it helps!

TU for the info. Since the Appian Records and Reports did not have it, it appeared it could not be done. There are only two items for each, so, categorizes are not needed.