Europe-SE Asia-Australia is possible in F though the main carrier would be SQ to do that and they don't offer RTW seats in F on the A380 leaving on the 77W with F seats and there aren't many of them - I think only LHR and FRA, maybe CDG. Once you get beyond AUS, it's UA or AC and neither offers F so you are in C anyway. TBH, given the restrictive possibliity of SQ F, you'd be better booking C and looking for an upgrade if you can find one but SQ are also very difficult about upgrades too - I was once told they prefer to off load rather than upgrade to F.

Good luck!