I can't help but eye-roll when Lauren Jackson is brought into the conversation. It's like saying the guy in social league who dominated every social league he ever played in is better than an average NBL player. Womens basketball is many orders of magnitude lower than mens competition. You're comparing apples with oranges by mentioning her. Does she have the most accolades of any Australian? Yes. But once again, in lesser competition. Is she great? Yes. Is she the greatest female player to have ever played the game? Probably. But let's not pretend for a moment that she wouldn't be held scoreless against an NBL mens team. If you're going to compare them all equally, you need to take into account what their capacities would be in competing in the same competition. Lauren Jackson, the greatest FEMALE to ever play the game, but that distinction is important if we're talking reality and not just trying to be "woke".
The greatest Australian Basketball player of all time, by order of personal achievement at the highest possible levels, right now, is Andrew Bogut. He has a Championship, NBA third team, and All Defensive Player accolades and an NBA career that lasted well over a decade. Second would be Luc Longley, for being an important role player on the threepeat Bulls. He never had the personal accolades Andrew had to push him over the edge.
The greatest Boomer of all time is, without any question, Andrew Gaze. He led the Olympics in scoring numerous times. He dominated NBL, and is undoubtedly the greatest player to ever play in the league. But when you look at his career on a personal level, it doesn't quite stack up to Bogut, despite Gaze having maybe more of a cultural effect on the game. Also one could easily argue that Gaze would have had a very successful NBA career had he been playing today.
None of this really will mean anything within a decade, though. Because by then Ben Simmons career will be well and truly established. He is already an All Star, already a rookie of the year, hopefully will be an Olympic medalist, and if his trajectory continues he will be the greatest player we've ever had.
Kyrie Irving isn't in the conversation. If you play for Team USA, you're out.