Mumbai, Feb. 18 -- For nearly a decade, 32-year-old Amulya Vanga bought chicken, eggs, and the occasional cut of mutton from her local butcher. The Delhi-based social media marketer, who lives with her elderly parents, liked walking to the shop in her neighbourhood market and getting the freshest meat possible.

However, says Vanga, when the family was in the mood for something fancier than desi curries, they had to venture out farther for more specialised meat cuts. They began taking a short drive to Green Chick Chop, a Delhi-based meat retailer and dine-in restaurant, to pick up chicken salami and sausages.

"Once or twice, I tried out Modern Bazaar (a Delhi-NCR-based gourmet supermarket chain) when I wanted to try European deli meats,"...