Post Wilshire Ebell Theater Lunch
Well, you're very close to Larchmont Village. La Luna (Italian) and Cafe Prado(Caribbean) would both be fine choices. I'm pretty sure La Luna is open on Sundays, but I'm not sure about Prado. Cafe du Village is also an option.
You're also not far from Koreatown. My knowledge of Korean food is pretty much limited to BBQ, and pretty much limited to Soot Bull Jeep at that. But there are many more knowledgeable people here on this board who could offer up a world of suggestions. You might bet more responses if you were to indicate a preferred price range or ambiance (no frills diner; fancy sit-down, etc.)