I've spent hours in front of the Chimpanzee enclosure at Taronga Park Zoo. This is the view from another of my favourite spots there.
Another park that I love is Centennial Park. It's only 100m down the road from my place and consists of lakes, gardens, horse trails and has a great cafe.
The view to the city from Darling Harbour, it's an entertanment and shopping area with great outdoor areas, including the beautiful Chinese Gardens.