Bowling:
Most wickets (25 or more):

Kapil has the highest tally here, while Ashwin and I Sharma have the highest among current players.
Best innings bowling (All instances of 6wi or more):

While Kapil has the best performance here, spare a thought for JM Noreiga who played only in 4 tests but still had the best innings performance for the West Indies in all Tests.
Ashwin (2016) and Bumrah in this series have the best figures among current players.
Best match bowling (All instances of 9wm or more):

Hirwani’s match figures are the best for India in all Test. UT Yadav (2018) and I Sharma (2019) have the best figures among current players.
Best bowling average (Minimum 2000 balls, all instances):

Hall and Walsh have the best bowling averages, while Ashwin and I Sharma have the best among current players. It can also be seen that GE Gomez and Gibbs have the best economy rates, and that Hall and Roberts have the best strike rate.
Fielding:
Most dismissals (15 or more):

Dujon has the most dismissals and catches, Dhoni the most stumpings and Richards the most catches by a non-keeper.
Most dismissals in an innings (4 and more):

WP Saha is the only one with 6 dismissals in an innings. SD Hope made 5 dismissals in this series. DJG Sammy has the most catches by a non-keeper with 5 in 2013, which is a share in the world record. Also note KS More’s 5 stumpings which is a world record.
Most dismissals in a match (6 and more):

Dhoni has the most dismissals here (8) while More’s 6 stumpings is a world record. Both his records came in Hirwani’s record bowling performance. The most catches by a non-keeper are 6 by ED Solkar, in India’s first victory against WI in 1971.
Best dismissal rate (Minimum 20 innings, 0.500):

Dhoni has the best rate here followed by Dujon. While CL Walcott played some of his Tests as a keeper, the best rate by a non-keeper is 0.800 by Azharuddin.
All-round performances:
Overall (see criteria in table):

Sobers has by far the best record here, followed by Ashwin who is again far ahead of Kapil. JO Holder and Chase have the best record among current players, while Mankad had a relatively poor record against WI.
Match performance (50 and 5wi):

This includes the century/5wi double by OG Smith, Umrigar, Sobers, Ashwin (twice) and Chase.