Weatherzone Layer Maps - High quality radar, lightning, models etc over terrain maps.
TWC Sydney Radar - High quality radar, lightning, wind, mslp etc. Other states also available.
TWC Radar-Storm Tracker - Brilliant customised setup. $5 a month for Weatherzone Pro.
BoM 128k Radar - See links below on applying specific radar knowledge to storm and rain forecasting.
BoM 128k Radar - alternative link - Use this if the first link is down. BoM is aware of this issue.
Bom Radar Info Page - Studying how to apply radar is an important part of forecasting rain and storms.
Radar Archive - 1 - If you've missed the action, you can view the archives here, including satellite data.