https://goo.gl/photos/9AQWmraCss6U9uVp7
If you're in into biking, or windsurfing Wellington is definitely a stunning place to live.
[edit] Also since everybody is talking about emus, this trail is actually called barking emu. But it is misnamed - since it's actually an Ostrich in the paddock up there.
You can in parts of Christchurch. The southern alps are visible from the university where I work (though they are a fair way off). House-wise, you're probably looking at at least NZ$500k for that view from within Christchurch, which does kind of suck.
Besides, Sumner doesn't seem very safe, earthquake-wise, which will be contributing to the price.
Calling Auckland, Wellington and Christchurch "big cities" - I could tell you were a kiwi before I even read the name!