This page shows some good locations that contain multiple photography sites. So you may want to go to one of these and explore the many opportunities there.
The lake is not only a place for many classic photographs, but it is surrounded by many national landmarks that each deliver their own unique photographic opportunities.
Photographic places of interest:
Lake Ginninderra
John Knight Memorial Park
Mt Rogers
The Pinnacle
Shepherds Lookout
Civic - city centre
Black Mountain nature reserve
Black Mountain Tower
Lake Burley Griffin
Red Hill lookout
War Memorial
National Arboretum, Cork Plantation, Himalayan Cedar Forest
National Botanic Gardens
New Parliament House
Old Parliament House
National Museum of Australia
Carillion & QE II Island
National Rock Garden
Lennox Gardens
Nara Peace Park
Percival Hill nature reserve
Gungahlin Pond & Yerrabi Pond
Mulligans Flat
Woden Town Centre
Woden Cemetary
Eddison Park
Coombs