Not sure where you are located but Schotts in Clifton Hill.
A place called Lights Lights Lights in Mt Alexander Rd Moonee Ponds for you guessed it, lights, although there are a few light stores along Mt Alexander Rd
For tiles, see Joe at Artistic Tile Design also on Mt Alexander Rd Moonee Ponds Range of contemporary to period style tiles. He is a great guy and fantastic knowledge as well.
As for hardware and the like, its a bit hit and miss there are many smaller stores that have little gems. Might take you a while to find what you are looking for. Alternatively you can try restorationonline.com.au