I've heard Japanese doesn't really have "curse" words. I can't say how true that is.
When "cursing" at someone in Japanese, it's more about inflection, tone, and using the social status constructs of the language to talk down to someone. Such as the insanely informal Kansai dialect below:
お前、何をやてねん?!あほやで! "What are you doing?! Stupid!"
Translated it's pretty tame, but depending on the context this could be quite shocking to the receiver.