Creamy vanilla ice cream cake with cookie pieces topped with whipped icing, creamy vanilla

Milkfat and nonfat milk, oreo cookie pieces (unbleached enriched flour [wheat flour, niacin, reduced iron, thiamine mononitrate {vitamin b1}, riboflavin {vitamin b2}, folic acid], sugar, palm and/or canola oil, cocoa [processed with alkali], high fructose corn syrup, leavening [baking soda and/or calcium phosphate], salt, soy lecithin, chocolate, artificial flavor), whey, sugar, corn syrup, hydrogenated palm kernel oil, contains less than 2% of the following: dextrose, oreo wafer (unbleached enriched flour [wheat flour, niacin, reduced iron, thiamine mononitrate {vitamin b1}, riboflavin {vitamin b2), folic acid], sugar, canola oil, cocoa [processed with alkali], high fructose corn syrup, wheat starch, salt, baking soda, soy lecithin, chocolate, artificial flavor), natural and artificial flavor, propylene glycol mono and diesters of fats and fatty acids, mono and diglycerides, guar gum, calcium sulfate, cellulose gum, carrageenan, sodium caseinate, polyglycerol esters of fatty acids, soy lecithin, polysorbate 60, soy protein isolate carbohydrate gum, salt, to preserve freshness (potassium sorbate) xanthan gum.