There is a Ralphs downtown on 9th St. and there is also Food 4 Less. I would also think that you will end up at one or more of the local downtown farmers markets: http://www.ccfm.com/site/locations.php and finally there is the Grand Central Market: http://www.grandcentralsquare.com/
There are a lot of restaurants. Everything from good Japanese to the old standbys like Philippe's http://www.philippes.com/ and Cole's http://213nightlife.com/colesfrenchdip and the Original Pantry http://www.pantrycafe.com/ and on to High end places like Rivera http://www.riverarestaurant.com/ or Patina http://www.patinarestaurant.com/home.php and the Water Grill http://www.watergrill.com/ to a good Brazilian cafe called Wood Spoon http://woodspoonla.com/ to great tacos at the Mexicali Taco & Company: http://mexicalitaco.com/ or the dive breakfast place called Nick's Cafe: https://sites.google.com/site/nickscafela/ to the Blue Cow http://bluecowkitchen.com/ or the Lazy Ox http://www.lazyoxcanteen.com/index.html or Colori Kitchen http://www.colorikitchen.com/ and the Nickel Diner http://www.nickeldiner.com/ (plus a whole hell of a lot of others).
shin sen gumi
shabu shabu house
Le comptoir (pop up at tiara cafe)
petes (all purpose open late burger decent)
buu dien (banh mi in china town)
soon to open branch of mo chica
and more I can't remember
I love DTLA!
I just read in the LA Weekly that Hollywood Pies moved
New location is:
1437 S Robertson Blvd
Los Angeles, CA 90035
Deliery w/i 5-mile radius or pick-up at the curb, however, actual seats may be on the way; see link to article above.
re: Robert Thornton
My favorites...top 21 in no order
Church and State, El Cholo, Wood Spoon, Colori Kitchen, Tiara Cafe (lunch), New Moon (lunch, chinese), Homegirl Cafe, Nickel Diner, The Gorbals, Baco Mercat, Gil's Indian, Bottega Louie, Cafe Pinot, Urbano Pizza, Umamicatessen, Pitfire Pizza, Spring Street BBQ, Spice Kitchen, Perch, Lazy Ox. Urth Caffe. Also, there are great cafeterias at the Colburn School of the Arts and Metro Water District HQ next to Union Station.
There are a couple of good restaurants -- Drago Centro and Water Grill. Drago, in particular, is Michelin-star worthy. Chaya is decent. On the lower end, I always enjoy Wurstkuche for sausages, fries, and beer. Lazy Ox and The Gorbals can also be enjoyable for drinks and downscale food. Spring for Coffee has good coffee.