From SIN-LHR, try to get one in the new A380. For Aus-SIN, try to get one in A350.
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777-300Just been through this with an upcoming redemption to Europe. Found this writeup on Point Hacks showing all the different versions to be very helpful: A guide to the different Singapore Airlines products flying to Australia
Careful with the 777 -- which one do you mean? 777-300ER, 777-200/-300 and 777-200ER are three very different products...
I think it will actually be the -300ER; the -300's still have the old 2-2-2 layout in J.777-300