John Granger, Elizabeth Baird Hardy, and Louise Freeman have written a bunch of great articles on The Hunger Games at HogwartsProfessor.com.
* Granger's Pearl Plot (version 2.0) and his look at the four layers of meaning in the Panem Saga are fun and deep.
* Hardy's essays on the meaning of birds in these books and on Appalachian life ("Don't Go Down In the Hole!") were a real help to me in getting the symbolism and realities of these novels.
*Louise Freeman's speculations about 'shipping in The Mockingjay and her connection of Peeta with Neville Longbottom turned my thinking in a whole different direction.
Granger posted a "round-up" of all the Hunger Games posts at HogwartsProfessor so you don't have to search around for them:
http://www.hogwartsprofessor.com/a-round-up-of-hogpro-hunger-games-posts/