In Australian English, the adjective full is used in various phrases referring to drunkenness.
—Cf. for example the phrase (as) full as a goog (goog is an Australian-English slang word for an egg).

One of those phrases, (as) full as a Bourke-Street tram, refers to Bourke Street, one of the main streets in the centre of Melbourne, Victoria.
—Cf. also the phrase not to know whether it’s Tuesday or Bourke Street, used of a state of confusion or stupidity.

The earliest occurrences of the phrase (as) full as a Bourke-Street tram that I have found are as follows:

1-: From The Daily Telegraph (Sydney, New South Wales, Australia) of Saturday 2^nd April 1983—as quoted in A Dictionary of Australian Colloquialisms (Sydney University Press in association with Oxford University Press Australia, 1990), by Gerald Alfred Wilkes (1927-2020):

The saying ‘as full as a Bourke Street tram’ is soon to take on a new meaning in Victoria, where alcohol may soon be served to passengers as the rails sing by.

2-: From Basically, new Euro-Englanders are same old whingeing Poms: Barry McKenzie with a strangely unbiased assessment of English cricket, by the British journalist Russell Davies (born 1946), “with apologies to Barry Humphries ¹”, published in The Sunday Telegraph (London, England) of Sunday 23^rd May 1993:

WHACKO-the-diddle-oh, it is Pom-flogging time again. Ever since yours sincerely came ashore at Heathrow on Tuesday last, feeling dry as a Pommy’s bath-mat I may say after the plane’s stock of tinnies goes and runs out, all I hear on the old bush telegraph is various estimates of how many Oz are going to win by, no worries.
[…]
[…] It is really coming out now that the Empire has turned its toes up. This whole country seems to be up the creek in a barbed-wire canoe. Without wishing to be disrespectful in any shape or form to the old wowser, half the population is already talking in terms of finally calling it quits with Her Majesty the Pork and Bean and packing her off to one of her palaces to watch the racing.
Now Blind Freddie could see this is a lousy idea. Whose mug are you going to put on the money, Lester Piggott ²? You’ve got to hang on to your history when you’re not a young culture like we are in Oz. Your Prime Minister looks like a stunned mullet as well, but I don’t want to get into personalities.
Besides, I saw the guy getting round a full-size schooner of XXXX at Edgbastard, so he can’t be all bad. Why shouldn’t the Premier get full as a Bourke Street tram once in a while, I say. It’s a free country. But not as free as some I could mention, i.e. Oz.

¹ This refers to the Australian comedian Barry Humphries (1934-2023), who created the fictional character of Barry McKenzie.
² This refers to the British jockey Lester Piggott (1935-2022), who was convicted of tax fraud in 1987.