Jos Buttler and Chris Woakes impressed before England were denied the chance to press for a 3-0 series clean sweep against Australia by rain in Canberra.
Captain Buttler cracked 65 from 41 balls as England posted 112-2 from 12 overs in the third T20I, their innings having been disrupted twice by downpours at Manuka Oval.
Buttler's fellow opener Alex Hales made a disappointing duck, while Dawid Malan scored 23 and Ben Stokes added an unbeaten 17.
The fifth over of England's innings saw a minor flash point as Australia paceman Starc appear to threaten a 'Mankad' dismissal when he claimed Buttler, later named player of the series, was leaving the crease at the bowler's end too early.
England held a 2-0 lead coming into the final match of the series, after posting eight-run wins in Perth and the first leg of a Canberra double-header, and they had another victory in their sights, particularly when the home team made a dreadful start to their reply.
Australia lost Aaron Finch to the first ball of their innings, with the captain reaching outside off stump and flogging Chris Woakes to Harry Brook at deep point.
Woakes had two wickets in two balls when Mitchell Marsh fell, Mark Wood taking the catch after the batter looked to be caught in two minds and got a leading edge to short third man. Steve Smith fended off the hat-trick ball.
Australia got to 30-3 in their reply from 3.5 overs, with Woakes (3-4 from two overs) having also dismissed Glenn Maxwell, when rain stopped play again.
Five overs needed to be completed for a result to be called, but there was no prospect of play resuming, the teams denied what could have been a useful finale to the contest ahead of the upcoming Twenty20 World Cup campaign.