The answer for this depends solely on the type of draft: live vs. online.
In an online draft, I have a sprawling of papers, the most important of which are my own rankings. Then, of course, I require my 100 oz. big gulp (AKA The Diabetes Maker) and whatever junk food is tickling my fancy that day.
For a live draft, I tend to look 100% organized and make the rest of the league think I'm cold and calculating, when in reality I'll take Eric Chavez over Scott Rolen based solely on facial hair. Depending on the crowd, I like to adhere to some of Simmon's standards (I'd link to the article, but I'm sure ESPN is making people pay to read it). Anything that can distract other owners (i.e. porno mags, video games, sloppy food, hard liquor, pink tank top) is a plus.
Also, I'll bring a fantasy magazine with, and though I might use it in crunch time, it's really just for show.
As Stephen A. Smith might say, at the end of the day everyone here knows exactly how they rank guys, or what value they apply to them in an auction. Hell, most people here could rattle off their first 5 round rankings for '06 if they were asked on the spot. Any resources are simply a crutch that we could get by without. About the only thing any of us might need would be a sleeper list.