When people talk about limiting carbs, they are often talking about limiting their consumption of starchy foods. Foods that are considered starchy include grains, legumes and starchy vegetables such as potatoes, corn, peas, winter squash and sweet potatoes.These foods often contain at least a small amount of sugar and fiber as well as starch.hen people talk about limiting carbs, they are often talking about limiting their consumption of starchy foods. Foods that are considered starchy include grains, legumes and starchy vegetables such as potatoes, corn, peas, winter squash and sweet potatoes.