... And here is a page with pictures of every (?) single one of them !!! (Even some of the new boys have one or two already).
http://www.lockonaviation.net/html/staralliance.html
SQ
do actually have 3 it seems as you can see, but unlike eveyone else they have their own colours on the tail !
And looks like on the newer paint schemes most carriers have now stamped their own identity - most have put their name of the side of their ones now, and SAS has orange engines with 'Scandanavian' written on them.
The photo also suggest that Air NZ have put their name on theirs too -
Air NZ ZK-OJH - though it is not that clearly done/prominent so can see how you might not have noticed that
Russell !
And look what United did to three of theirs - yuk !!!
UA ones.
Site says Ansett never had any done for them (see, not that OT is it, at least we got something to do with Oz aviation in here somewhere !

)
.