I'd like to add an RSS feed of "today's featured article" and possibly "in the news" to my RSS reader. Is this possible?
Information about Wikipedia's feeds is on the page Wikipedia:Syndication.
The two feeds are provided by third parties.
According to the page, the feed of “Today's Featured Article” is at http://feeds.feedburner.com/WikipediaTodaysFeaturedArticle.
The feed of “In the news” was created by me some time ago and it's available at http://itn.svick.org/. (The same news item will sometimes appear twice in the feed, if the page title the news item links to changes.)