Why start in 1841? Because it was in 1841 that the burgeoning settlement was provided with a Resident Judge of the Supreme Court of New South Wales. There was a Resident Judge in Melbourne between 1841 and 1852, when the position was replaced by that of Chief Justice of the Supreme Court of Victoria.
So, here are the summaries of the goings-on in Melbourne and the surrounding district on a weekly basis:
1841
1842
This is too hard, folks! Monthly summaries from here on in
The Resident Judge of Port Phillip 