May I suggest you find out for yourself by visiting:
Domain.com.au
This is a website run by the Fairfax Group - publishers of the Sydney Morning Herald. I did do a quick online check myself, and it seems that there is not much available at the moment.
Make sure you select areas such as - Condell Park, Georges Hall, Padstow and Yagoona in addition to Bankstown. The airport is actually closer to the suburbs of Condell Park and Georges Hall than it is to Bankstown.
There are some nice units in the area so don't despair, but be prepared to pay a good price if you want something nice. It is a well know fact that the average Sydney-sider spends a higher percentage of their income on accommodation than do people living in most other areas of Australia
Fark!