I am looking to include rich snippets into a site I\'m building to reflect a musician\'s upcoming tour schedule. I have done some searching on various musicians and have found a
You are correct, these band pages are not implementing rich snippets of any form. What Google is actually doing is showing information pulled from other sites about that band. This information comes from the sites listed on the "More Info" line. These 3rd party sites are the ones implementing rich snippets into their pages.
I don't have enough rep to comment on Oded's "answer" to this question, but he is completely wrong. Microformats are an accepted form of rich snippet markup, just like microdata and RDFa. I would recommend going with Schema.org microdata on your site, though, since Google is presenting it as the future of rich snippet markup