I've riffed about this before. Since then, I, was included in a group of business and HR experts who were invited to weigh-in on the subject by the Albany Times Union. I encourage you to read the interesting and varying perspectives (find them about halfway down the page on the Class conflict blog) on whether resumes remain effective. I found Brandon Mendleson's (the graduate student reporter who invited me) post a nice summary of the problem...and a pointer to the solution.
Static websites can't compete with 2.0 experiences in conveying what you might feel when using a product or service. Text doesn't work well without pictures. Sound and animation (video) brings a product to life. Why would you expect words in a word document to accurately portray your personal micro brand? To oversimplify, one dimensional tools don't work well in a three dimensional world...and, we're fast approaching the fourth dimension.