Thanks to Go Dairy Free viewer Kayleen for emailing this recommendation.
Follow Your Heart is a Market and Vegetarian Cafe. They do have menu items that contain dairy (and honey, to note for strict vegans), but since these folks are the creators of Follow Your Heart Vegan Cheese Alternative, I can guarantee you will find many dairy-free and vegan options on their menu or with a quick request. See the website for their detailed and expansive menu.
Location: 21825 Sherman Way, Canoga Park, CA 91303