The most annoying CAPTCHAs are those that are absent
I hate the things as much as anyone else, often struggling to get them correct after numerous attempts; but some sites don't even implement them correctly. On several occasions I've spent some time filling in an online form or browsing and placing an order on wesites only to be confronted with a message prompting me to solve a CAPTCHA at the end or checkout... except there is no CAPTCHA there to solve. I tick the box "I'm not a robot" and nothing, nada, zilch. Result... I end up abandoning the site and buying elsewhere, never to return to the original site.