There is a great museum in Auckland in the Domain, so you can combine walking, getting fresh air and exercise, with culture (it is one of the best Pacific Islander museums in the world, better than the Bishop in Hawaii). The gardens are quite nice too. There is also a great rose garden in Parnell, another area that is good for walking around.
http://www.virtualtourist.com/travel...nell-BR-1.html
http://www.virtualtourist.com/travel...main-BR-1.html