I'm not exactly sure how one provides an anonymised dataset that contains IP addresses. But:
We don't have those navigation paths and so can't provide them. Sure, we could provide the {referer, URL} tuples associated with specific IP addresses, and replace the IP with some kind of randomly-generated value (or just a salted hash) but this falls apart very quickly with the modern structure of the internet and the scale Wikimedia properties operate on: you can have a lot of distinct people at one IP address, particularly through cellular networks, and so multiple sessions and trails can get inaccurately grouped together. More importantly, the HTTPS protocol involves either sanitising or completely stripping referers, rendering those chains impossible to reconstruct.
I believe Leila Zia and Bob West (who will hopefully see this message. I know Leila is on this list!) are currently working on a project that looks at search paths, and they may have additional commentary. But generally-speaking: we do not generate this data as a matter of course, we would not be comfortable releasing it (unless exceedingly sanitised), and as the person who deals with our request logs on a day-to-day basis I can think of a half-dozen ways in which it would produce false results (ways we have no real way of checking the probability of occurring).