Many newspapers run a daily or weekly Strange-but-True feature:
1- Boston Globe – Odds and Ends
http://www.boston.com/news/odd/?p1=Well_OddsEnds_Banner
2- Los Angeles Times – Odd and Offbeat News
http://www.latimes.com/features/custom/oddnews/la-on-more-sg,0,6504520.storygallery
3- BBC
http://www.bbc.co.uk/blogs/magazinemonitor/
4- Deutsche Welle – From the Fringe
http://www.dw-world.de/dw/0,,11430,00.html8–
5- Chinaview – Odd News
http://www.chinaview.cn/oddnews.htm
6- Reuters – Oddly Enough
http://www.reuters.com/news/oddlyEnough
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See also, among many others: Independent, Daily Telegraph, Daily Mail, Der Spiegel and London Times.