II was attempting to create a search filter for "Bugs needing Confirmation", which would be something like "all issues of type bug which are in unconfirmed status and were not reported by myself" (because we do not confirm our own bugs). I could not find a way to do this other than getting a list regardless of reporter, and then just ignoring the bugs I have filed.

How about something like this:
in the "Find Issues" screen
in the "Issue Attributes" section
in the "Reporter" dropdown control
add an option like "All except current user"

which would add the equivalent of "and reporter != current_user" to the search query.

Or, if possible, some way to specify which user(s) to exclude (if is other than current user)
This may require something like a custom "excluding" section on the screen.