Some cities have “Big Bazaar” which is similar to a Walmart (smaller though, the Indian market doesn’t have the variety of brands and products other countries do). There certainly are a lot of other similar stores. A more American thing that isn't readily available is like a Costco, bulk shopping would be pretty tough there, and people are fine to go out on a more regular basis to pick up fresh milk/veggies.

No American big box retailer will ever be built. Indian government doesn’t allow foreign companies to come in and set up shop very easily (at best they can get in with 49% ownership like Starbucks/Tata). Additionally the logistics situation is very different. Less ports, roads between cities built differently than USA, traffic across states is not a right like USA and various restrictions/inspections/fees can occur. It’s worth keeping an eye on IKEA’s expansion specifically in India. They really want to grow the marketshare, they have the right price points, and people seem to genuinely like and want them around. But lots of artificial hurdles which i suspect are caused by local traders/shops knowing how much business IKEA will take from them.

Indian Amazon is approaching the utility of American Amazon and are pretty good about taking advantage of the existing couriers and air cargo which takes care of some of the interstate logistics I mentioned. The funniest part to me is that every individual item you order comes with it’s own delivery person, there isn’t yet much work to consolidate packages. The current generation is growing up with Amazon though and I anticipate many future improvements.

I also see a dead comment in this thread saying India doesn't have malls... I've never seen more malls in an area than I have in big Indian cities. A lot of them are pretty good!

Source: many extended visits to india