That is part of a 6-2 winning record overall in World Cups, although the teams are level at one apiece in semi-finals ahead of this one, Australia triumphing in 1975 before England earned their revenge four years later.
Occasions do not come much bigger for England cricketers - though a Lord's final on Sunday would fit the bill should they win at Edgbaston - and the captain fully appreciates the scale of the opportunity.
Australia, who have not won in any format at Edgbaston since the 2001 Ashes Test, suffered a surprise 10-run defeat by South Africa at Old Trafford in their final group game.
Starc has been on a roll in the ongoing tournament and has so far taken 26 wickets in nine matches he has played. "We went to Durham to put in a better performance and improved again and tomorrow we will look to do the same", he said.
Steve Smith, so often England's nemesis, held Australia together with 85, helping them to a total of 223 that at least gave them something to bowl at. "It works both ways".
England is playing its sixth semifinal, losing in 1975 and 1983 when it hosted the tournament.
Smith and Alex Carey steadied the innings with a fourth-wicket stand of 103 but wickets tumbled at regular intervals and Australia were unable to halt England's sprint to the final.
Plunkett made his World Cup debut in 2007 but believes this was the first time they entered the tournament as genuine title contenders.
Former England batsman Lamb, who briefly captained the ODI team in 1990, expects Eoin Morgan's side to dethrone Australia and seal its place in the decider at Lord's.
With the memory still fresh in mind, Boult said, "Australia pumped us in 2015 final so it will be nice to get out for a game". I think whoever plays the best cricket will go through.
If this is a World Cup of see-saw fortunes, despite the overwhelming favourites making the final four, it is also one in which other teams punched hard, some above their weight, setting up some delicious clashes.
Meanwhile, Australia's defeat marked the first time the side made it to the semi-final but could not advance to the final. Australia wicketkeeper Carey had his helmet knocked off by a Jofra Archer bouncer and required several minutes of on-field treatment. Mitchell Starc got the scalp of Jonny Bairstow, trapped leg-before but the lively left-armer is also going for runs.
Plunkett made his worldwide debut in 2005 and played his first World Cup match in 2007, but admits to have never previously been part of a side who he thought could win the tournament.
That's unlikely to be the case on Thursday.