I don't like Brahms, Mozart and Dvorak.

So if I say, "I like neither Paris Hilton nor Lindsay Lohan." I'd be ok? No punch in the mouth?

Ha ! !
Depends if you say that directly to little sniffling Paris and she's had a couple of shandys.
A fat lip is still a possibility I reckon.

"I don't like lager and lime" is quite different from "I don't like lager or lime".