The kirana stores of India are essentially small grocery shops owned by a individual that sells a variety of grocery and daily use items. Mostly they are limited to dry and packaged items. Things like rice, lentils, breakfast cereals, chocolates, sauces, spices, pickles, jams, condiments, cheese, cooking oil, eggs, milk, packaged drinks and other such items. They will almost never sell things like coffee, tea or ready to eat food items unless they are pre-packaged. In most parts of India, the so called kirana stores will not sell vegetables, meat or fish, but they will very likely be stocking up on eggs. They are typically different shops from the kirana shops.

A stationary store sounds like a mom and pop store. Yes, a kiraana from what I read sounds like a neighborhood grocer but pictures also show them looking a lot more like farmers markets. Feed stores can be like that, but it probably depends on what the area offers.

Stationery store as mentioned by the op here is a shop that sells stationery items. Things like books, pencils, pens, crayons, printer paper, etc. These are typically stores that will not sell you food items. Kirana stores are mostly those that primarily sell food items.