I believe Citizen Smith has them on the menu, but I have never tried them. There are a couple of stalls at the Hollywood Farmers market that have them right now (saw them on Sunday) so you could make them yourself if you are really craving!
South, on Wilshire in Santa Monica offers both fried green tomatoes and fried pickles. Both are pretty good, although not great. And they have a long "happy hour", should you just want bar food, so fairly inexpensive to try them out.
Thank you! I know Citizen Smith quite well, but haven't been there in eons - since they are the most convenient location I will try them. Cook them myself? Are you crazy, this girl just doesn't have bacon grease lyin' around. That scares me! :)