(covers information from several alternate timelines)
This page contains information regarding Star Trek: Picard, and thus may contain spoilers.
By 2263, in the alternate reality, Saurian brandy was outlawed by the Federation. In that year, James T. Kirk celebrated his thirtieth birthday with the last of some Saurian brandy which had been picked up on Thasus. Upon Kirk telling him what he was drinking, Leonard McCoy asked him if he was trying to go blind. (Star Trek Beyond)
In 2269, females of Planet Two of the Taurean system served a nectar that caused the crewmembers of the Enterprise to faint. Doctor McCoy stated, on their way to the slumber chamber, that their nectar was as potent as Saurian brandy. (TAS: "The Lorelei Signal")
A Klingon officer stationed on Morska drank from a bottle of Saurian brandy while the USS Enterprise-A was posing as a Klingon ship in order to reach Rura Penthe. (Star Trek VI: The Undiscovered Country)
Guinan prepared a concoction containing mostly Saurian brandy, along with Targ milk and Denevian mead, after hearing about it on Prakal II. Data observed that the drink contained a high concentration of fructose and monosaccharides (which is to say, it was sweet). (TNG: "In Theory")
When trying to distract Doctor Bashir from his dealings with Elim Garak in 2370, Quark asked Bashir if he wanted "a little Saurian brandy to go, or maybe a late night in a holosuite." (DS9: "The Wire")
In 2371, Quark ordered some Saurian brandy to have delivered to his quarters while he was conducting a negotiation with Emi. Rom, who was to deliver the brandy, instead warned Quark to leave immediately, as Grand Nagus Zek had arrived. (DS9: "Prophet Motive")
Later that year, while Odo was lending his body for Curzon Dax to take it over for Jadzia Dax's zhian'tara, he opened a bottle of Saurian brandy in Odo's security office. He said Odo had confiscated it from a Yridian smuggler. (DS9: "Facets")
In early 2374, Nog managed to acquire some Saurian brandy for the USS Defiant crew despite the Dominion War going on. (DS9: "Behind the Lines") Later that year, Quark received a shipment of Saurian brandy. (DS9: "Resurrection")
In 2375, a Ferengi named Gant had ten cases of Saurian brandy for sale, and according to Nog, it was Benjamin Sisko's favorite. Later the same year, Hector Ilario experienced his first taste of Saurian brandy; he also stated it was Captain Sisko's favorite. When walking Hector Ilario back to his quarters, drunk on Saurian brandy, Ezri Dax remarked, "It kind of sneaks up on you, doesn't it?" (DS9: "Treachery, Faith and the Great River", "Field of Fire")
Guinan served Saurian brandy at 10 Forward Avenue. When Jean-Luc Picard visited her in 2401, she asked him whether he would prefer "top shelf or hooch", and when he chose "hooch", she replied, "Saurian brandy it is," picking a bottle off the bar. (PIC: "The Star Gazer")
This drink was referred to as simply "brandy" in the final draft script of "The Enemy Within". The beverage received its full name in the revised final draft of that teleplay.
The "powder horn" bottles used in TOS and DS9 were originally commemorative whiskey bottles from the George Dickel Distillery in Tennessee, produced in 1964. (Star Trek Encyclopedia (2nd ed., p. 431); Star Trek: The Original Series 365, p. 45)
In a line cut from "The Die is Cast", Vice Admiral Toddman noted to Julian Bashir that he was "in trouble", because the Admiral had bet two cases of Saurian brandy that he was going to win the Carrington Award that year. Toddman told Bashir, "You lost, which means I lost. And I don't like to lose." (Star Trek: Deep Space Nine Companion - A Series Guide and Script Library)
The same Saurian brandy bottle that appeared on TOS later resurfaced in a 1971 episode of the Desilu/Paramount series Mission: Impossible entitled "The Missile". In a move that had to be an intentional homage to Star Trek, the director prominently placed it in frame next to Leonard Nimoy.