I'd use "cola" in Dutch to refer to the generic type of drink, which is pretty much universal in Dutch AFAIK. But I would use "coke" in English. I'm not sure where I picked that up: I've lived in a combination of England/Ireland/NZ over many years, and to be honest I'm not actually sure how it's used there. Maybe just from US films?

Although what I really wanted was a Pepsi, but she wouldn't give it to me. All I wanted was a Pepsi! AND SHE WOULDN'T GIVE IT TO ME!