A useful shortcut for your desktop is the On-line Case Law page of the La Trobe University Law Library. It’s quick, up-to-date and free.
The page is available to anyone. It lists most common abbreviations used in reported and unreported legal citations. (The link above will take you to a table of the main ones; a much longer list, as well as links to other similar sites, is available at the Legal Abbreviations Search page).
An advantage of the La Trobe system is that it provides information about which subscription service carries a particular report series. Where this is a free service, such as AustLII or the Supreme Court Law Library, the links will take you straight there. Of course, if it’s a commercial service you are referred to, you must be a subscriber to access that service.