A number of traffic lights used for crossing the “little” streets in central Melbourne don’t have green/red men.
Some do, however, particularly along Swanston Street where there are heavy pedestrian flows and — I suspect — more people likely to be just following everyone else like sheep, and not looking for cars before they cross the road.
I had been assuming that if there was no green/red man, you could cross at any time if no cars were coming. Not so, says the VicRoads web site:
Fines apply to pedestrians who commit the following offences:
cross against an amber or red traffic light
Of course, it’s uncertain what is likely to happen if caught crossing on a red in a spot where you can’t physically see the light in question.