They only saw victories in Tests-updated to Oct 2017

Correct up to October 15, 2017. The Test involving the ICC XI is not counted.

As mentioned earlier, there are only 4 Test players who played 5 or more Tests in which their team won all of them. As on Oct 15, 2017 they are:

Allwin1

None of them had particularly distinguished Test careers; for instance, Lord Hawke was a specialist batsman whose Test batting average was under 10.  While GJ Bailey was a good limited-overs batsman he made only one fifty in Tests. They were fortunate in being in the right team at the right time-which was particularly true of Eldine Baptiste: http://www.espncricinfo.com/ci/content/player/51211.html

Not long ago Imran Khan (the present one, not the politician) also was on this list with 5 straight wins from his debut. But his 6th Test was drawn.

Adam Gilchrist had 15 straight wins from his debut in Nov 1999 to Feb 2001 (before the Australian juggernaut was halted by VVS, Dravid and Harbhajan). He finished with 72 wins, 11 losses and 12 draws in his 95 Tests (not counting the one against the ICC XI).

The runner-up is England’s Tim Bresnan who had 13 straight wins from his debut in May 2009 to May 2012 followed by a draw against the West Indies. He probably will not play in Tests again, and has 15 wins, 4 losses and 4 draws in his career of 23 Tests.

Here is a list of the 23 players whose Test careers had over 80 percent wins as on Oct 15, 2017:

Highest win percentage over 80 pc

The only current and near-current players are Jackson Bird (who is not in the current Australian team), Karun Nair, Wayne Parnell, Duanne Olivier and Dawid Malan.

Again, there are relatively few well-known players here (though it does include Loxton and Saggers from the 1948 Australians) besides Hodge and Lehmann from more recent times.

 

More records by Imran Khan (Jr)

Imran Khan (junior), a Pathan like his better-known namesake, already has a couple of interesting Test records in his name.

http://www.espncricinfo.com/ci/content/player/316363.html

One, he joins the select group of only 5 players with 5 or more Tests whose team won every Test he played in. Here are the other 4.

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Of these, GJ Bailey is a current player but is not very likely to play for Australia again. If one really looks into it, Baptiste and the others were not particularly distinguished players but happened to be in the right place at the right time. Perhaps Imran has contributed more to his side’s wins than the others. For instance, he has 14 wickets including a fiver in his 5 Tests. Baptiste has one fifty and 16 wickets (best a three-for) in 10 Tests. The other three are specialist batsmen with no fifties.

And Imran is now the only one to play 5 or more Tests without scoring a run:

http://stats.espncricinfo.com/ci/engine/stats/index.html?class=1;filter=advanced;orderby=runs;orderbyad=reverse;qualmin1=5;qualval1=matches;size=10;template=results;type=batting

During his 5th Test he finally got a chance to face a ball in what was only his 2nd innings. He faced 8 balls in 24 minutes and was dismissed for zero. The only other time he batted was on his debut, when he spent one minute at the crease and did not face a ball.