Generally NO. Xbox 360 games are region-locked. A US (NTSC-U) game will not boot on an Australian (PAL) console.
| Region Code | Countries | Video Standard |
|---|---|---|
| NTSC-U/C | USA, Canada, Americas | 60 Hz / 480i/480p/720p/1080i |
| PAL | Europe, Australia, NZ, Middle East, Africa | 50/60 Hz / 576i/480p/720p/1080i |
| NTSC-J | Japan, Asia | 60 Hz / 480i/480p/720p/1080i |
~15% of Xbox 360 titles are region-free (signed for all regions). They will work on an Australian console.
Even if the disc is region-free, DLC is region-locked to the *account* / *store*.
Bottom Line: Don't buy US discs for AU 360 unless confirmed region-free. Use Xbox One/Series for universal disc play.