I'd do a task report (or an assignment report if you're wanting to pull task and issues) grouped by assigned to. You can have 2 filter sets in the report:
Assignment users name = (all names of those you want to pull, or you assignment users home team, group, etc.)
Task status = statuses you want to pull
Add an OR filter set below it with:
Assignment users name = blank (or teams, etc. You put blank in order to get tasks that are unassigned).
Task status = statuses you want to pull
I say assignment users not assigned to bc assigned to will only pull the primary assignee, so you'll miss out on tasks assigned to multiple users by only using assigned to.
If this helped you, please mark correct to help others : )