A colleague in work was trying to log into a website but it wouldn't accept her password. She clicked on the Can't Login? link to see what options were available. This took her to the bug reporting screen which required her to log in first! All rather stupid but she did manage to log in in the end.
That's not the only thing wrong with the website but possibly the silliest thing is to do with the meta tags in the <head> section of the web pages. The meta keywords tag is often used to help search engines index the pages. The only page which is visible to a search engine is the 'log in' screen but this doesn't have the meta tags. These are on the pages which can only be reached after logging in, where they would be invisible to a search engine. Even better than that is the list of keywords. This starts off sensible enough but ends with "Add more here....".