These are stores to buy things by category based on my personal experience. I do not endorse any of these, shop at your own risk. I personally tried most in this list, but not all.
Expensive and brand names shoes: large malls
Reasonably prices shoes: local markets (I go to Dezerter, find one close to you)
Electronic parts: https://dac.ge/en/
Pet stuff: local store closest to you, plus:
https://www.petfood.ge/
https://pet-shop.ge/
https://petsmart.ge/
https://4pets.ge/
Home Improvement, tools:
Eliava market (great prices and selection) or local equivalent close to you
https://www.domino.com.ge/en/ (Expensive, especially tools)
https://modus.ge/
https://gorgia.ge/en/
https://mihouse.ge/
Camping:
Local FB groups (best prices)
https://mplus.ge/
https://campshare.ge/en
https://sportmaster.ge/en
https://www.4wd.ge/categories/15?lang=2
Stationary and paper supplies:
https://geosm.ge/
https://antaris.ge/
Furniture:
Saba center (do maps search for location)
Electronics, computers:
https://alta.ge/
https://ee.ge/
https://pcshop.ge/
https://vendoo.ge/
https://zoommer.ge/
https://ultra.ge/
https://printerebi.ge/