Recently, many programmers and that includes me, have taken the X out of AJAX, and by default use JSON as the protocol format. However I'm trying to think of some places where XML would be more appropriate as a protocol format, that doesn't include SOAP (because SOAP could theoretically be done with JSON anyways).
Note: I love me XML for many other purposes, so its not about XML vs JSON in general, I'm concerned in particular with AJAX's transmission protocol.