You can have a Rock N Roll Hanukkah...if you want to. Sure, you'll likely start with The LeeVees. And throw in some Meshugga Beach Party. Some Macaroons and Yule Logs. A track or two from Sam Glaser, Poppa's Kitchen and "Hanukkah Gone Metal". A few loose tunes like Velouria's "Til Next Hanukkah" and The Goblins' "Ha-Ha Hanukkah". Don't forget Lorna did a tune or two. Maybe you're even fortunate enough to have the great Indie CD, "I Made It Out of Clay". But you're still not quite there. Let's see if we can help out.
I still don't think your Rock N Roll Hanukkah is going to be complete without dipping into Judaica that isn't specifically related to the holiday itself. The now defunct JDub label was great for that. With groups like Golem and Girls In Trouble, Soulico, The Sway Machinery, and The Balkan Beat Box, I can't think of a domestic label that did more to bring Jewish music into the 21st century. Artists like the LeeVees, Matisyahu and The Macaroons were launched by JDub. The JDub recordinds of these artists are still available, lots on those "thrown together compilations" that seem to over-populate Amazon. "(These Are The) Good Old Days" by Hip Hop Klezmer artist DJ Socalled was initially released a decade ago but still sounds ahead of it's time. This is one I've actually used in a Hanukkah mix and you can find it on "Hot Tracks For Hanukkah" (to name just one spot). This is not a collection of Hanukkah songs, but an album of Judaica from the JDub label thrown together the year after the label folded.