The Bureau of Meteorology recently updated its 1300 Telephone Weather Service. The Bureau now provides one number to access current weather warnings. 
Bureau of Meteorology - National Weather Warnings: 1300 659 210

After dialling this number each state's weather warnings are accessed as follows:
                For NSW/ACT Warnings: Select Option 1
                For VIC Warnings: Select Option 2
                For QLD Warnings: Select Option 3
                For SA Warnings: Select Option 4
                For WA Warnings: Select Option 5
                For TAS Warnings: Select Option 6
                For NT Warnings: Select Option 7

Please Note: Bureau of Meteorology Telephone Weather Services (TWS) deliver pre-recorded messages only.