Check out the Low Glycemic Diet
.... this is a diet
recommended for diabetics because it doesn't raise blood sugar
levels, which would in turn require added insulin. A low glycemic diet is best for everyone, because it's, typically, lower in calories when you eliminate added sugar and white flour.
Most foods have some sugar, naturally, so you can't eliminate it all. Just buy fresh/frozen fruits and veggies and make sure they have no added sugar.