In case this helps: ST airlines that fly to Australia are Korean (BNE, SYD, MEL), Vietnam (SYD, MEL), China Southern (BNE, SYD, MEL, PER), China Eastern (SYD, MEL, soon also CNS), China Airlines (BNE, SYD) and Delta (SYD).
Side remark: On top of this, for non-award flights, there are also the codeshare agreements (KL with Malaysia from KUL and AF with Qantas from SIN and HKG) that are relevant for Flying Blue members. So, perhaps surprisingly, Flying Blue is a FFP with loads of options for travel from Europe to Australia. And once Garuda has joined ST, there will be even more options.