An early-morning platform collapse Tuesday on the Toronto set of Paul W. S. Anderson’s Resident Evil 5 for Sony Screen Gems has sent ten zombie actors to the hospital. Constable Wendy Drummond, a spokeswoman for the Toronto Police Services, said a wheeled platform on the movie set at Cinespace Film Studios on Kipling Avenue shifted as un-named actors were moving from one area of the soundstage to another. The sudden movement led to a platform collapsing and 16 people being left injured. The Toronto Star newspaper reported that a dozen actors dressed as zombies had been moving across the soundstage platform when it collapsed. Read more: http://www.hollywoodreporter.com/news/resident-evil-5-platform-collapse-246632
They don't eat for sustenance. They don't have the means to process food anyway. They are mindless automatons driven by instinct to kill and consume, especially the extra emaciated ones that are basically skeletons. Romero's original films focused on the idea of the zombie being the (ideal?) insatiable capitalist consumer/customer where the appetite wasn't a function of need but greed. And before you ask, Zack Snyder is apparently going one step further and making raper zombies in his next film (he made the Dawn remake in the 00s), so that instinct is going to be covered soon too (though it's been touched on before in Dellamorte Dellamore and Re-Animator).
^ That being said the "zombies" in 28-Days (-Weeks) Later did starve but only because they were humans infected with the RAGE virus, which doesn't count.