maehhh
Some Yak models are type-certificated in some EU countries, so why not talk to Richard Goode and ask if he can find you an aircraft that's already operating in Europe, then buy that one and do your European flying in it.
When you bring it home to Oz, re-register VH- and apply for an experimental certificate for exhibition under CASR 21.191(d), or go to Warbirds for Limited Category if you intend doing adventure flights.
You'd probably need to get some sort of Eu licence conversion, but that ought to be way cheaper than paying the shipping, certification and maintenance costs that have been discussed on this thread.
Good luck, Blowie