Australia won the recent 3-Test series 2-0 with one draw, with the drawn match being badly affected by rain. After this series, a total of 116 Tests have been played between these countries. Australia leads 58-32 with one tie and 25 draws.
For the 66 Tests in Australia, the hosts lead 37-18 with one tie and 10 draws. In the 50 Tests in the West Indies, Australia still lead 21-14 with 15 draws.
A look at various statistical records at the end of the series:
Most runs (1000 and above):

Nobody from the present sides, the most recent entries being that of Ponting and Chanderpaul.
Highest scores (175 and above):

Here newcomer AC Voges made the highest score for Aus v WI, surpassing the 242 by KD Walters in 1968-69. That was an important landmark as Walters became the first to score a century and double century in the same Test, a feat which was soon repeated by SM Gavaskar and others.
Now to highest averages (for a minimum of 20 innings batted):

The top two names might be a little surprising, as well as the relatively low positions of Richards, Sobers and Greenidge who were prolific scorers against most teams.
The most centuries are 9 by BC Lara and RB Richardson, followed by 7 by RT Ponting and SR Waugh.
The most 50-plus scores are 20 by BC Lara, followed by 19 by DL Haynes and IVA Richards and 18 by CH Lloyd.
Bowling: Most wickets (40 and more):

The most 5-fors were 8 by Ambrose and McGrath, while McGrath was the only one to take two ten-fors. It can be seen that McGrath is the most recent entrant in this table.
Now we look at bowling averages (for a minimum of 2000 balls bowled):

This is on expected lines.
The best economy rates are 2.06 by LR Gibbs, followed by 2.27 by MHN Walker and 2.33 by R Benaud and GD McGrath
The best strike rates are 42.2 by B Lee, 44.7 by JR Thomson and 47.0 by J Garner.
Fielding: (20 or more dismissals):

The most stumpings were 9 by the now-forgotten GRA Langley. The most catches by non-keepers were 45 by ME Waugh and 38 by CL Hooper.
The most dismissals in an innings was 7 by RD Jacobs, and in a match it was 9 by DA Murray and RD Jacobs.
Highest dismissal rate (for a minimum of 20 innings fielded):

Note that RB Simpson has the highest rate among non-keepers.
All-round performances (overall):
As usual, we have to use some semi-arbitrary criteria to identify all-rounders here. However, this has got most of those who are generally considered to be better all-rounders (though one may say that AR Border’s second place is surprising).

And finally, best all-round performances in a match:

DS Atkinson and Mushtaq Mohammed are the only ones (in all Tests) who have scored a double century and taken a five-for in the same match.