Many of the nice restaurants in the area have shuttles to the music center area; I know they run at night, but you’d need to ask if they run during the day. And, having looked at the websites for some of my favorite restaurants, it appears that many do not do lunch on weekends. That said, in the immediate vicinity of the music center I’d recommend Kendall’s (used to be Otto’s); looks more chi chi than the food is, but it’s also very good. More seafoody. They’ll also make sure you get out in time to make it to the concert. Of the restaurant’s I’ve looked at, it appears they’re actually open, so they have it over, for example, Tesoro or Noe.
Ciudad is okay, but I find the food only so-so and the service generally poor; it’s gone down significantly since it opened. It’s also quite a hike away from the music center. If you’re going to venture that far away, I’d recommend the Standard[ restaurant over Ciudad; better service and cheaper.
If you want to consider exploring Little Tokyo, Chinatown, or Olvera Street, consider the [url=http://www.ladottransit.com/dash/routes/downtown_wkend/schedule_dd.html]DASH](Downtown LA Restaurants near Pershing Square LA | The Standard,); they run limited lines on weekends, but they have something called the “Downtown Discovery” which loops through Olvera Street, Little Tokyo and Chinatown. It’s 25 cents a ride (a bargain!), and runs every 20 minutes. So that’s an option too. You could park at the music center, take the DASH over to Little Tokyo, and then take the DASH back after lunch.
But – if you’re planning to do dinner afterwards, please consider:
Engine Co. No. 28, which is maybe my favorite downtown restaurant. They advertise as “American food,” and my favorite is the vegetarian chili. A friend goes there for the chicken fried steak. Some of the servers are great; a few are real assholes. But the food makes up for it.
Takami, good sushi and a great view as the lights of the city come on at night. (Warning: website has really annoying music.)
Cicada, amazing service, great food (Italian). When I say “amazing service” I mean not only that the servers are nice and helpful, but they’re friendly as well. I really like Cicada, but it’s more upscale than Tesoro. If you were hankering for Italian food, I’m not sure which one I’d recommend, as I think they’re both great (but different).
There are, of course, tons more, and so it’ll depend on how far you’re willing to go from the music center. LA recently began an experiment permitting taxis to pick up passengers on the streets (previously, you could only get into a cab at a cab stand, you couldn’t “hail” a cab), and I’m not sure if the experiment is ongoing (it was kind of a failure because they didn’t advertise it so we didn’t know we would actually hail cabs). So if you want a cab, you should be able to get one at the music center; cab ride to one of the restaurants is about $5. You could also drive – downtown LA isn’t bad on weekends, and the restaurants generally have valet parking for $5-7.