After David Warner fell early, D'Arcy Short, Chris Lynn and Maxwell blasted the ball to all corners of the park to complete the easiest of victories at the MCG.
Having won the toss and elected to bowl, Australia - who beat New Zealand in their opening contest - quickly put the ball to good use and had England reeling on 34-3.
Jos Buttler admitted they failed to soak in the pressure as they slipped to their second loss in T20I tri-series.
Chris Lynn - 7/10 - Called into action in the first over of the innings, Lynn attacked the England bowlers; consistently finding the boundary and not being afraid to hit over the top.
A delighted Warner, serving as captain for the match, said: "The guys from the Big Bash have been in tremendous form and are playing fearlessly".
Alex Carey - 4/10 - Carey did not bat in Australia's innings, but took a catch to get the early wicket of Jason Roy.
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That was the final act of this long England tour in Australia, including a 4-0 Ashes defeat and a 4-1 one-day success.
Glenn Maxwell - 8/10 - Maxwell top scored for Australia with 39 from 26 balls.
Buttler was involved in another crucial partnership, this time with Sam Billings as the duo added 43 runs between them in 41 deliveries.
Maxwell has scored 371 runs in 6 matches at an average of 185.50 post 2016 World Cup. Australia chased down the target in 14.3 overs, and have qualified for the final of the tri-series.
In front of 42,000 at the MCG, they were muted from the off and their slender total of 137 never looked like troubling Australia's batsmen. Richardson took three and Stanlake took two wickets for England so far.
The unbeaten Australians are all but assured of a spot in the February 21 final in Auckland after downing England by five wickets in Hobart and beating New Zealand in the series opener ahead of Saturday's match.