A while back I took an MMPI exam a friend administered. It was pretty awesome. Flash forward a few years and I discover
http://hacker.psychologi.st/ -- it'll even do the interpretation of your response (which is the annoying part). If you're concerned with having your personality displayed on the internet, take comfort in the fact that the site doesn't appear too popular and there's nothing to tie any submission to you save for an IP, and if you're that worried just use Tor. You should be using Tor for anything you do anyway, especially if you live in the good ol' US of A!
Take note that there's no point in lying on the exam, it just makes the results inaccurate and what's the point in learning something untrue about yourself?