Don't forget the ever popular version: cocoler. Which is sometimes applied to not only other colas than Coke, but any carbonated sweet beverage. The exception is RC Coler, which is the king of colas, and merits its own designation.
You'll also get an exception to the cocoler label for cherrywine or cheerywine, and even the occasional char wine. But never for those clar dranks like 7up. Excuse me, them dranks.
Tbh though, even up here in rural areas, it's fading. Most people specify brand more often than not, with folks under 30 almost exclusively using the specific brand, or sodas when referring to the type of drink overall.