Political issues can provide a huge source of material for fractured fairy tales. World leaders or events can be adapted by either portraying politicians in the roles of fairy-tale characters or fairy-tale characters in the roles of politicians. Examples could include real people in a fictional setting, such as "President Obama in Wonderland," or fictional characters in a real setting, such as "The Big Bad Wolf Goes to Washington."
Social issues can also be used for fractured fairy tales and can range from immigration to global warming. As long as it is topical, any issue can be molded into a fairy tale. For example, a variation of "Jack and the Beanstalk" might deal with enhanced airport security, where Jack is forced to wait in line and clear beanstalk security agents before being allowed to climb the beanstalk.
Like social issues, morality issues can be a fruitful source for satirical fairy tales. Issues such as gay marriage, abortion rights and even the legal age of consent can be used. Whatever moral viewpoint you wish to address is completely up to you; for example, you can just as easily create a fairy tale supporting gay marriage as opposing it.
Ironic situations can also provide inspiration. The idea of taking fairy-tale characters and placing them in unusual situations can lead to a interesting fractured fairy tale. For instance, place a Cinderella character in a contemporary setting, where she is using an Internet dating site to find Prince Charming.