One thing about living abroad is dealing with a different basket of available consumer goods. I’ve discovered many new types of fruit here in Georgia, and have really learned to use herbs when I cook. But there are also those things from home that we miss, or can’t live without. I personally bring a lot of “suitcase food”, but sometimes that plan fails. Here’s a list of my recon on some popular items in the expat crowd, and where you can find them. The answer is often, though not always, one of the major chains of grocery stores. However, not all branches will have the same things in stock, so even then it’s a hunt!

Bagels Furshet supermarkets (cheap! more Lender’s-level quality, though), Le Gateau, Dunkin’ Donuts
Brown Sugar if you don’t need the texture, a German brand of dark sugar is commonly sold in the bigger supermarkets and will add that touch of depth to the flavor. If you need that specific texture, there’s a specialty baking supply shop near the corner of Paliashvili Street and Arakishvili Street in Vake. I’ve never heard anyone call it by name, but please fill me in if you have more information!
Chickpeas (dried are more common) Tursa, Furshet, sometimes canned at Goodwill
Cumin Carrefour, Tursa (the Georgian word კვლიავი kvliavi is used for both cumin and caraway, so make sure you check! I’ve sometimes seen it just labelled სუნელი suneli or “spice”)
Dental Floss GPC and PSP pharmacies, Carrefour (becoming more common, but still more expensive than you’d think. Lately, it has been worthwhile for me to get some fancy stuff shipped from the US–prices here are so high, that it’s not so much more expensive, and it’s much more comfortable)
Gluten-Free products Georgita, small section at Smart
Mosquito repellent Supta Sakhli stores carry Off! Brand products, there’s also usually something in didi Carrefour, and seasonally in the larger pharmacies
Quinoa Carrefour
Soy Milk sometimes at Carrefour, but only sporadically in stock
Sunscreen is becoming much easier to find. The “perfumeries” (like Lutecia and Voulez Vous) also carry international brands of make-up and skin care, and usually have some very good, though expensive sunscreens. Navne often has American brands like Neutrogena and Banana Boat, but their stock fluctuates a lot (they’re also basically an overstock place, so make sure you check the expiration dates). Big grocery stores and pharmacies also usually have some, though limited selection and not great prices.
Tortillas Smart (check the bread area on the lower shelves), occasionally Carrefour

Shoes and Clothing are obviously available here, but it’s hard to find good quality, cheap, and in all sizes (apparently my feet are man-sized; I’ve been laughed at when asking for women’s shoes in my size). Tbilisi Mall has a variety of Western brands like Gap, Marks and Spencer and Zara (also on Rustaveli), but even low-priced Western stores are not low-priced here. You can buy anything at Lilo “Mall” though the quality is usually quite low; fortunately, so are prices. I’ve had some luck looking into shops on Pekini Street like KOTON and Promod, and I love Penti for colorful tights (all those stores have multiple branches). If you’re willing to hunt, there are second-hand shops on Pekini Street and surrounding the train station. My friends have had some great finds, but I don’t have the patience or innate sense of style to make it work. It’s worth noting, though, that tailoring is fairly cheap and easy to have done, so you don’t need to find the perfect perfect fit. I often find that I don’t care for the most common styles here (not a fan of either the bright and blingy fashion of many teens or the black and sacklike style favored by older women) and for me cheap online shopping and shipping through a package forwarding service like USA2Georgia has been better. Sierra Trading Post and thredUP have been my go-tos of late (Those are referral links which will give you a discount).

I’ll try to keep this a living document, and you can help by commenting with other places to find things, or asking if I know where to get something.