Fairly sure this can be done in Houston without dramatic gerrymandering, possibly also in the L.A. suburbs, but it would be uglier.
Maybe Arizona if you MD-03 all the Native American reservations with majority-Hispanic border areas with majority-black or Asian areas of Phoenix?
This is also pretty obviously achievable in the Bay Area and NYC, the former could probably be done with a pretty normal looking East Bay district, but the latter would require something quite ugly looking.
2 longshot possibilities are VA with an I-95 district connecting the most Asian and Hispanic parts of NOVA to majority-black parts of Richmond and NC with a district connecting the Lumbee areas to the Research Triangle, though still I doubt the Native/Hispanic/Asian populations are large enough to make it work in NC.
I doubt there are enough black or Asian areas in Arizona to do this there. I'm trying the East Bay right now; it might be possible, but it's not so easy to get large numbers of black voters without whites *and* still connect them down to Fremont. What's the best you can do?