White's final games will be against Wales on 24 November and the Barbarians a week later.
The Blues pair helped the Barbarians beat World Champions South Africa 22-5 at Twickenham in November.
All the world's top players are invited to play for the Barbarians at least once in their career.
Kevin Higgins was the first American to play for the Barbarians, in 1991.
As well as representing England, Hardwick played for London Irish and the Barbarians.
Michael Ross is also retained in the squad after being involved in Ireland's game against the Barbarians in May.
Banahan seized his opportunity in the 33-26 non-cap loss to the Barbarians to earn a starting spot against the Pumas.
Wilkinson's expected two-week recuperation will rule him out of England's match against the Barbarians at Twickenham on Sunday 30 May.
Banahan was drafted into Martin Johnson's senior squad ahead of the Barbarians game after David Strettle was ruled out through injury.
Varty will become the first Hong Kong national to represent the Barbarians.
Phillips, who was named man of the match, also set up the first try of the game after breaking through the Barbarians' defense.
"The match against the Barbarians at Twickenham on 1 December will be my last as Springbok coach, " the 43-year-old said in a statement.
Back in England a number of youngsters have a great chance to make an impression on Martin Johnson against the Barbarians on Saturday.
But the biggest disappointment would have been felt by Rowan Varty, the first player from Hong Kong ever called up to represent the Barbarians.
To make more sense of Australia's ongoing culture wars, I would read Horne's The Lucky Country and Paul Sheehan's 1998 book Among the Barbarians.
The former Ospreys player has been included in Wales' 45-man preliminary World Cup squad, and featured in Wales' defeat by the Barbarians earlier this month.
His absence means a total of 13 of the Springboks' World Cup-winning squad are unavailable for the tour which also sees them play the Barbarians.
The birth of my daughter was a particular highlight and being asked to coach the Barbarians next April is something I am very proud of.
Stoddart was Man-of-the-Match with a two-try display in the 40-24 win against the Barbarians in a match to mark the official opening of Parc y Scarlets.
While the Barbarians await replies from those star names, Llanelli Scarlets once-capped All Blacks centre Regan King has accepted his chance to play for the Barbarians.
The Barbarians finished with two hookers in the front row, and this weakness led to them being penalised in the scrum twice in the closing stages.
England play the Barbarians at Twickenham on 30 May, Argentina at Old Trafford on 6 June followed by a return Test in Salta a week later.
The Irish RFU said that the management for Ireland's games against the Barbarians (27 May), New Zealand (7 June) and Australia (14 June) "will be announced shortly".
New Zealand go on to play a Test against France in Marseille on 28 November before concluding their tour against the Barbarians at Twickenham on 5 December.
Just past the hour mark, the Barbarians were penalised for a collapsed scrum and Barkley took over kicking duties, shortly before Hodgson's substitution, and levelled the scores.
South Africa face Scotland on Saturday before tackling England at Twickenham on 27 November, before their tour closes with a game against the Barbarians on 4 December.
Philippe Saint-Andre and Kingsley Jones will coach the Barbarians, who will take on England at Twickenham on 30 May before facing Ireland at Thomond Park on 4 June.
David Hill will start the match with Spencer, who has played for the Barbarians and Jonah Lomu's XV at Twickenham in the past fortnight, settling for a replacement role.
Unlike the Romans, the Barbarians did not build for posterity, and their story is told principally through displays of funerary jewellery and weaponry, with the odd cooking pot thrown in.
Hape made his first England appearance in the non-cap, pre-tour game against the Barbarians and has been preferred at inside centre to Bath team-mate Olly Barkley, alongside Mike Tindall in midfield.
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