I'll second the point about mice. Our cat had a decent feast one night when I pulled back the stove, and the ones who lived to tell the tale & escaped, probably warned their mousey friends to stay the heck away from our house.
Pulling out the drawer only seems like a partial solution; you don't expose the area under the sides, so crumbs build up there and the mice, ants, and God knows what-all else, still have a food supply. What I really want to do is move the entire unit so I can clean the entire area it was sitting on.
Question: How do you move the stove when it's connected to a gas hookup? Isn't that running the risk of flexing the flexible gas pipe until it breaks? (This is making me think an electric range might be a good idea.)
By the way, with Hanta virus around, mice are no longer "merely funny." They're a serious health hazard, risk of death included. From what I've seen, the best solution is something called the Rat Zapper. Their phone number is memorable: 1-800-dead-rat (or it might be 1-888...) and they're on the web. This is an electrocution trap that's instantaneous (humane), and clean (no splatters), and doesn't scare off other mice after the first one meets its fate. They make bigger ones for bigger pests, and institutional models for restaurants and warehouses and so on.