“You Have a Question? I Have an Answer” is a feature that answers real questions from real writers.
Q: Hi Ricki. Even though I live in LA and am a screenwriter, I need your assistance in approaching agents from CAA, WME, UTA, et al who would be appropriate. In other words—a few suggestions? I got the idea to approach you after reading your interview with Dorian Karchmar. I need an agent and am clueless as far as whom to approach. Would you know, and could you help?
–Anonymous
A: Thanks for the question!
I’m not as versed in the area of script agents/script managers, as I’ve only interviewed literary agents and authors at this point. However, I’m very interested in screenwriting—and I will be interviewing some script managers for Writer’s Digest Books’ 2011 Screenwriter’s & Playwright’s Market—so I guess it’s time to dive into that subject!

*Some* literary agencies handle screenplays - but in my experience, most do not. You just have to do the research to find out!
On the GLA blog, where I’m assuming you read my Karchmar interview, Chuck Sambuchino lists “Screenwriting and Script Agents” as one of his categories located on the left of the blog. If you click on that heading, he has some interviews with script agents as well as a few other informative posts in the area of screenwriting. Maybe that could be a lead?
As well, in addition to Guide to Literary Agents, Sambuchino also puts out the aforementioned Screenwriter’s and Playwright’s Market, which is a huge database of script agents among other things. I’ve got the 2009 edition right here, and one major section of it lists agents/script managers. Many of the listings even show what genres the agents accept, so that should help you find someone tailored to your (awesome!) projects.

If you can get your hands on one of these babies, you'll be able to find exactly what you're looking for.
Good luck to you!