The Australia-England match is due to take place on Oct 28. The prospects for play seem to be poor, considering that the match at this venue earlier in the day was washed out. Anyway, here are the records of T20I matches between Australia and England.
Overall team performance:
Total matches 23. 10 won by Aus, 11 by Eng, 0 ties, 2 no-result
In Aus: Aus 7, Eng 3, NR 1 (Total 11)
In Eng: Aus 2, Eng 6, NR 1 (9)
Neutral: Aus 1, Eng 2 (3)
Note the strong home advantage for both teams.
Looking at individual performances:
Batting:
Most runs-200 and above:

Finch leads, followed by Buttler. Finch and Maxwell have scored centuries.
The most 50+ scores are 5 by Buttler, followed by Finch with 4 including a century.
The most sixes are 55 by Finch and 51 by Buttler
The most 4s are 35 by Finch and 23 by Buttler.
Highest innings scores-60 and above:

Again, Finch is far ahead of the others.
Bowling:
Most wickets-8 and above:

Rashid has the most wickets (12) followed by MG Johnson and Jordan with 11.
No one has taken a 5wi. 4 players have taken a 4wi, as we can see below.
Best innings bowling (including all 4wi):

Watson has the best figures of 4-15 here, followed by J Lewis with 4-24.
Fielding:
Most dismissals-5 and above:

Buttler and Warner have each made 11 dismissals.
Buttler (11) and Wade (7) have the most dismissals as a keeper.
Warner (11) and Hales (9) have the most dismissals as a fielder.
No one has made more than 1 stumping.
All-round match performances:
20 runs and 2 wickets in a match, in chronological order:

While there is some subjectivity here, the best performances here seem to be by Maxwell (103* and 3-10) and Watson (59 and 4-15). The only English player here is Collingwood (46 and 2-8).
Note that the ground at Southampton figures in many places in the above tables. The city is also the birthplace of the UK’s new Prime Minister.