Nested/Tree folders/files View for operations lists
Similar to what is shown on Windows Explorer, but for more intuitive and user-friendly UI for the end-user.
Please refer to this screenshot:
Notice in the example above I'm using a software that already does that, but not exactly for file copying/moving.
That way you could switch between the normal file list and tree view to see what's being copied/moved to each place. Allowing to click to expand nested/tree view for current files.
PS: That could also be separated by tabs in real time. The ones that are completed and the ones that are still pending.