Not many travelers will find themselves visiting Auckland purely for its cuisine. The Maori weren't known for a lasting gastronomical tradition, although the "boil-up" (a boiled, potato-based meal somewhere between a soup and a stew) is eaten practically everywhere still. The British brought their fish and chips, which, while delicious, aren't usually enough to bring tourism to England in the first place. Luckily, modern Auckland looks less like its two largest cultural contributors and more like the diverse, cosmopolitan city it has become, providing would-be diners with everything from fast food to candlelight and fine tablecloths.
Central Auckland has plenty of areas that are known for food and drink, while there are a few spots beyond that are worth the few extra minutes of travel time. If you're looking for Asian eateries, there are a ton, although a high concentration of quality stops exist just north of Albert Park on Chancery and High Streets; Try the legit Malaysian food at Mamak Malaysian. The Britomart (Quay Street to Fort Street) area is also popular with Asian (great Thai at Zap 4 Esan), although Sal's pizza, Velvet's burgers, and Espresso Workshop's indie coffee selection have all inspired grown men to run naked through the streets. If you just want to walk a road in the hopes of grabbing some good food, Ponsonby is home to a high number of classic cafes (Dizengoff comes to mind), Italian restaurants, and even a few cheaper joints that don't skimp on quality (Food Room). Queen Street is central to pretty much everything, although you might have to shield your eyes from the hordes of fast food chains. Hop on Victoria for the incredible Depot Eatery or jet down down Wellesley for a bite at the quaint collection of eateries at Elliott Stables. Then again, if you don't mind a street that can get seedy in parts, then head south to Karangahape Road where spots like Revel Cafe personify the street's quirky nature and provide some of the best vegan options in the city. Folks also rave about the polenta chips at Coco's and cheaper take-out options like Sal's and Mexicali Fresh.
For great (although not cheap) eating with a view over the water, stroll over to the Viaduct, take the quick ferry ride to Devonport or head east to Mission Bay. All of these places have a fine assortment of choices if you want coffee and a snack or a sit-down meal. For further information on cuisine in Auckland, take a look at the included links or check out the more detailed neighborhood summaries.