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One you'll probably remember - Wikimedia released search logs in 2012, realised they were insufficiently anonymised, and took them down the same day:

https://blog.wikimedia.org/2012/09/19/what-are-readers-looking-for-wikipedia-search-data-now-available/

There's probably quite a few more cases like this, where the dataset has been removed shortly after release by the maintainers, but many will be pretty much undocumented...