After short trip to Europe I scrolled down websites of Geocell LLC, Magticom LLC and Mobitel LLC.
The question what differs Georgian big three from the rest of the world if it won’t hurt I guess its European interface of Customer care. Telecom is always “melting pot” of technologies. Vital  task of any business is Customer satisfaction. “Curiousity killed the cat but satisfaction brought it back to life.”
Historically in Mobile Network Mobile Operators  ‘liason anchor” between Customer and Operator

was call-center.Its multitasking interface, filekeeper of Customer needs and demands,CRM ( Customer Relationship Management software) makes these contacts efficient along with Corporate website- its showcase of business.Time and tide wait for no man. What leaps to the eye is rather static content of the websites in terms of interaction with the end Customer, world community is using all possible channels to the potential Customers :e-mail, icq, Skype, chat, 800 numbers etc.This part is for some reason   missing... again any channel to the  marketplace is good.
Voice prompts ( voices recorded in the telephone Switches) are very far from soprano type with ideal Georgian and no-accent English.There should be more marketing effort input, as when you’re calling US based cell phone you are usually embraced with a sweet soprano voice.This brings additional flavour despite the fact that you might be upset when calling.  
A cat may look at a King, I’m not criticizing big three, just would like to see them more prosperous and successful with Customer satisfaction as a bottomline.Good luck to you Georgian Big Three in this rapidly changing world of  telecommunications !