Internships in Political Theory
Still very much a work in progress. Here are a few groups, mostly with a conservative bent, that focus on political theory.
The Institute for Humane Studies offers very well paid internships in DC for students "interested in supporting students interested in ideas of liberty. http://theihs.org/
The Federalist Society, http://www.fed-soc.org/aboutus/page/internships
Young Americans for Liberty, http://www.yaliberty.org/posts/find-your-spring-internship-here