Just confining to the areas where I live and work (Downtown LA to Koreatown), an area about 4 miles by 4 miles
Conventional:
Vons - 1 store
Ralphs - 2 stores
Ralphs Fresh Fare - 1 store
Food 4 Less - 2 stores
Discount:
Grocery Outlet - 1 store
Smart & Final - 2 stores
Smart & Final Extra - 1 store
Ethnic:
Northgate Gonzalez - 1 store
HMart - 1 store
Jons - 2 stores
Healthy:
Whole Foods - 1 store