The foods of New-Zealand One of the most popular takeaway foods in New Zealand is the mince pie, a pastry filled with meat and gravy. Depending on the variety, it can also contain onion, cheese and mushrooms. Classic Kiwi Recipes • Stuffed Leg of Lamb. • Kiwifruit, Ginger and Honey Cake. • Kumara, Parsnip and Taro Chips. • Lemon Curd and Pomegranate Pavlova. • Crumbed Fish and Kumara Chips. • Caramel and Hokey Pokey Tarts. • Steak and Mushroom Pie.