Waiheke Island: We took the ferry to the island then took a bus to tour the island and visit a winery. Lots of nice bays and beaches to visit.
Mount Eden: A volcano with a crater that is scared to the Māori. Great views of the area from the summit. It is the highest natural point in Auckland.
Auckland Domain: A park, museum and gardens located close to downtown. A pleasant place to visit and unwind.
Mission Bay: An up scale part of Auckland. There are restaurants, stores and theaters to visit. Take the bus from downtown and spend an afternoon walking the area.
Karangahape Road: Walk to it from downtown. Slightly seedy, but lots of restaurants and people enjoying the evening.