The closest I would know of are Retraction Watch and PubPeer.
First, Retraction Watch has a database comprising retractions of scientific papers. Click on the arrow next to the search field "Reason(s) for Retraction", and you will see possible candidates for statistical mistakes.
Secondly, PubPeer allows anyone to write a 'post-publication review' responding to any scientific paper. Search for "statistical mistake" and you will find many cases in which readers raised concerns about published findings - some of them having led to formal errata, corrigenda or retractions. Here is one example, where the reader starts an extensive response with "I have no comments to make about the data, but I do have concerns about some of the statistical analyses", and goes on to list issues about the methodical approach of that paper.