I proffered the coccyx and appendix as examles of neutral body parts, you pointed out that these are vestigial in nature and not some benign mutation.
I AGREE! Let's move on
Well after reviewing the disproportionate amount of effort required to gain your agreement above, I hesitate to continue...
I ask you again, do you still stand by this statement you made (above): "there can be no such thing as a 'neutral' body part?"
If you do, then I shouldn't be able to find any organism that has some benign mutation (neutral body part) that doesn't currently or didn't PREVIOUSLY benefit the organism, correct?
...however seeing as you have clearly laid a clever trap it would be inconsiderate not to oblige: every collection of cells requires the host to expend resourses in maintaining them. Resources that being finite, may be used to the advantage of the organism elsewhere.
So if, for want of a better term, the "bodypart" in question confers more cost than benefit then yes, it becomes a candidate for being weeded out over many generations. To become established in the first place requires a benefit to have been conferred at some point so the probability of finding a well-developed neutral bodypart is extremely low. This may not suit your BLACK and WHITE thinking, but I'm afraid it's how natural selection operates. We would therefore expect to see transitional stages in every species.
Now you can tell me all about your example of a benign mutation that was never of any benefit to the host.