Certainly for Cat II there are some operators/aircraft that have been approved for manual/coupled approach and landing. I think it's largely left up to the CAA of the relevant State what they approve or require beyond the international standards.
You may find something of interest (at least for the European region) in ECAC doc 17, albeit it seemed to be becoming a little dated when I last needed it, if you can find a copy. It was always difficult to find on the web but now seems to have disappeared when I had a quick look - perhaps it has been withdrawn or updated into some other document, maybe JAR-OPS.