I can't listen to music when I read, but I do usually sit still and read through all my comics at once. I kind of have to because if I don't read them all right away, I usually don't get around to reading them at all. I've got a backlog of about 10 Punisher issues and 4 or 5 Spider-Girl issues that I still haven't read.
Here's a related question: What order do you read your comics in?
I tend to have a first and a second wind, so to speak. I put all the comics I'm dying to read first, then the middle is a chunk of comics that I read regularly but I'm not overly excited about or other comics I'm just trying out, then I finish off with more good stuff like Vertigo series, Hellboy, Solo, and any indie or quasi-indie stuff. The reason I do that is to keep my ass plastered to my chair reading. If I left the middle chunk until last I'd never read them, and if I moved them to the front I'd procrastinate on starting to read my comics to begin with.