Not quite the same as a dining run, but if I have a long enough layover in some cities, I'll go deal with traffic (vehicular and human) just to get a bite at a place I like.

HK for example makes this very tough. The food court at the shopping center at Tung Chung is IMO a food hell. Cantonese, Chaozhou and Taiwanese food (and terrible attempts at Japanese) have led me to board a bus to get South Asian grub in TST. Granted, that mall has a supermarket in the basement, but it all depends on how much time I have.