I've decided to include All Headline News in this article, but with a caveat.  While All Headline News is free and you can create custom feeds based on your search terms, but all feeds created include a self-promoting advertisement as the first story of every created feed.

• http://www.allheadlinenews.com/cgi-bin/news/xml/newsxml.cgi?search=health

The above url is an example search based feed using the term "health."  You can see the feed below.

HTML Source Code:

<style> <!-- .channel { width: 200px; font-family: arial; font-weight: bold; font-size: 12px; margin-bottom: 0px; } .channelDescription { width: 200px; font-size: 10px; margin-bottom: 0px;} .channelPublisher { width: 200px; font-size: 10px; margin-bottom: 0px;} .news { width: 200px; background-color: #eaeaea; display: block; font-size: 10px; width: 100%; margin-bottom: -15px;} .newsAlt { width: 200px; background-color: #ffffff; display: block; font-size: 10px; width: 100%; margin-bottom: -15px;} .channelLink { font-weight: bold; } .newsLink { font-weight: bold; } .newsLinkAlt { font-weight: bold; } --> </style><table width=200><tr><td> <script language="JavaScript" src="http://convert.rss-to-javascript.com/?chan=0&desc=0&date=0&num=5&font=&font_size=&bgcolor=&fgcolor=&src=http://www.allheadlinenews.com/cgi-bin/news/xml/newsxml.cgi?search=health"> </script></td></tr></table>

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• Tackling a targeted web-site focus .. Part II 
• Free RSS based searches 
• Introducing RocketNews 
• Yahoo Custom Feeds 
• All Headline News 
• To wrap-up