i just call it what it is like sprite, coke, pepsi, fanta, but i hardly ever drink them cause they cause so many problems.
Around here they say:
"Do you want a soda"
and people say chuck to throw, chunks are what you blow
i'm used to say coke rather than would you like some softdrink? in other countries, i think in US they are used to call softdrinks as soda and in Britain they used to call it Frizzy drink.
i say Diet Coke cuz that's the type of soda i like.
I think in my part of the country we refer to the generic as soda. My gramma always called it tonic.
I offer them water first. Would you like some water?