Usually, when I try to explain Cross Site Scripting to some who isn't familiar with it, I end up justifying why XSS is really and issue and could, depending on the kind of application or website, cause a lot of damage.
This gets even more difficult if you try to explain the dangers of CSRF in a way, that sounds reasonable to an uninformed audience. Now it'll probably be a good idea to come up with some examples in such a situation, like the one that pdp has recently presented. The ability for an attacker to hijack someone elses gmail account only due to a simple CSRF vulnerability should make perfectly clear, why CSRF must never be underestimated.
One of many good examples worth to quote on this matter.