What does that site have to do with this? Maybe they collect passwords through people visiting the site?
Do something about BugMeNot

Clearly, no one can STOP this from happening. However, closing accounts listed there is always a possibility, and probably the only real way to deal with that practice.

Bugmenot provides a way to remove listings if the site has paid content, or when people can view content when they are not signed in, or when content only available through signing in can be used for fraud. Unfortunately, it involves creating a page at a URL decided by BugMeNot.

Quite a few of the accounts listed on that one page showing are fake, they don't exist.
The few that do haven't been used in over 2 years. Only two were current and those are safe.

It's not just about what is there now, it's what could be there in the future. With other sites on BugMeNot I have seen passwords for moderators or admins (They might be fake, I haven't tested any logins there). Also, stolen accounts could be listed. chess.com's listing there is a breach of both sites' T&Cs.
There is a website called bugmenot.com that is giving away passwords. Could a staff member do something about it?