There are various sites, such as http://www.e-stories.de or http://www.learn-german-online.net/learning-german-resouces/literatur.htm Latter one offers a variety of different sites which are hosting short stories. Good Luck :)

You can look it here , but the website is in Russian, all You need is just to click on the .pdf - icon, and the text will open. :) http://www.multikulti.ru/German/info/German_info_136.html