Most wins (15 and above):

GC Smith has the most Tests, so it is not surprising that he has the most wins (53) Next are Ponting (47) and S Waugh (41). One can see (from the last column) that S Waugh, Bradman and Ponting have the highest win percentage.
The most wins by Indian captains are 36 (Kohli, 5th overall), 27 by Dhoni (10th ) and 21 by Ganguly (19th).
Current captains here are Kohli (36), Root (26), and Williamson (22).
Most losses (13 and above):

GC Smith again heads this list, closely followed by SP Fleming and Lara who led relatively weak teams.
The highest by Indian captains are 19 by Pataudi (11th overall), 18 by Dhoni (12th) and 15 by Kohli (19th). Also 14 by Azharuddin and 13 by Ganguly.
Current captains here are Root (19), Kohli (15) and BRM Taylor (13).
Most draws (13 and above):

Headed by Border (39), Gavaskar (30) and GC Smith (27).
For India the highest are 30 by Gavaskar (2nd overall), 23 by Kapil (8th) and 19 by Azharuddin (11th). Also 15 by Ganguly.
No current captains here. The most recent is AN Cook (13) who finished his term of captaincy in 2016.