Nothing conclusively weird has happened to me (I am quite sceptical), but there are some strange things that have happened to me for which a so-called 'rational' explanation seems like 'explaining away'. It is therefore my willingness to believe in other explanations that prevents me from assuming so-called 'rational' explanations are the answer, hence my believe that they are mildly strange things I have experienced. So it's somewhat circular.
I have never actually posted my strangest experience on this site, which happened to me while hitchhiking - maybe because I know it could just be explained by 'coincidence'. I just don't believe in coincidences like that though!