How to check and correct editorial changes to a manuscript post-acceptance? A journal which accepted a paper of mine has made some alterations to the text of the paper as part of their editing process.  They sent me the edited version for approval, and I discovered that at least some of these changes are erroneous (for instance, one of the changes included a typo, and another was changing the spelling of a technical term incorrectly).  I asked for a list of all the changes made, and was told that this was "too messy" (I assume because the alterations to the text are mixed in with the changes to the formatting of the paper, which is a more standard part of the editing process).

At this time the journal is waiting for me to approve/make changes to the final proof before publication.

My question is how I should deal with this situation.  I feel like I have an obligation to be responsible for the contents of a paper published in my name.  (Though, if I'm mistaken about this, that would be a helpful answer.)

I can think of a few solutions, ranging from the tedious (compare the PDF files line by line to identify the changes myself), to the demanding (insist on a list of changes anyway), to the passive-aggressive (either withdraw the paper or add a sulky footnote disavowing responsibility for the unknown changes to the paper).  These all have problems, so I'd appreciate more constructive ways to approach the situation.
I've run into bad editing situations like this. In these cases, I've gone through the paper line by line, with a fine tooth comb. Yes, it is painful, but it is a  good idea even if the journal editors aren't obviously screwing up. (This can get doubly horrible if you have complicated formatting in your paper.)
You should bear in mind whoever is doing this is unlikely to actually understand what you are writing, and my experience of people doing this sort of thing is that they can be well-meaning and not too bright, so they can take it upon themselves to "correct" your manuscript, while not understanding what they are doing. Additionally, if you give them last minute changes to the paper, make sure to check they have applied them correctly. Are you the sole author? Can you get anyone else to help with this? It would make it less awful. 

Your other ideas sound less viable. Asking for a list of changes assumes that there is someone there who actually knows what those changes are. My experience is that journal staff are often amazingly technically incompetent, and probably have never thought of using version control for example. though I'd love to hear about the exceptions. But you can certainly try to insist.

Your passive-aggressive ideas just sound bad. You don't want to withdraw your paper over an issue like that. And if there are errors in the paper, they will reflect badly on you, and nobody else will care.

At times I've thought someone should start a site like ratethisjournal.org where people could discuss their experiences dealing with different journals.