Double digit percentages for white, black, Hispanic and Asian populations

[I spent the winter writing songs about getting better]

What cities have precincts that meet this criteria?

As stated elsewhere, the first place I noticed this was of all places Des Moines, Iowa. St. Paul has a large cluster of precincts that meet the criteria, making up almost a 1/3 of the city's population together. Other places I'd expect to have such precincts include San Francisco and maybe some other Bay Area city, Los Angeles, NYC and maybe Honolulu if it has any areas of concentrated black population. What places can be confirmed?

[I spent the winter writing songs about getting better]

Just because a city at large meets the criteria doesn't mean necessarily any precincts in it do. You could theoretically have a very segregated city with large populations of all four groups but concentrated all in different areas. For example I doubt there's any precinct in Chicago or Milwaukee that is very close to the city at large's demographic makeup.

[I spent the winter writing songs about getting better]

Does anything come close with Native American as one of the races? I know Robeson County, NC is about 33-33-33 of whites, blacks, and natives.

Minneapolis has a heavily Native area, the Little Earth neighborhood which is basically a Reservation stuck in the middle of the city (as Lewis said "Minneapolis is just that cool.") It borders some heavily black and Hispanic areas. I should check it out.

[I spent the winter writing songs about getting better]

Minneapolis does have such a precinct. 9-4 is 16.1% white, 20% black, 33.5% Hispanic and 23.3% Native. Also nearby 6-6 is 17.8% white, 41.2% black, 27.1% Hispanic and 7.8% Native.