In the mid-1990's McDonalds wanted to build a store at Moore Park (Corner of Anzac Parade & Lang Park). South Sydney council refused their development application and the burger giant took them to the NSW Land and Environment Court. This had the support of the Centennial Park and Moore Park Trust.
Source: Skelsey, Michael. 1995. "Council bites back at burger giant." The Daily Telegraph Mirror, July 7: 18.
There was opposition to the outlet by locals and local state MP Clover Moore (Bligh). But what happened next? It ended up going to the NSW Court of Appeal and council was reordered to assess the application because it was a park "refreshment room" (Doesn't really look like one). By 2002 no new application had been made and since then nothing.
Clover Moore who was the member for Bligh (later renamed Sydney) and current Lord Mayor of Sydney has kept a webpage with an overview of the plans if you want to read a little more. One person mentioned has landed himself in some strife lately with businessmen.