Cowboy Bebop at His Computer: Part of the St. Petersburg tank chase was filmed on site. They faked all of the relevant statutes and treasures and smashed replicas on a UK Backlot, but that didn't stop a few breathless "They're destroying our art!" newscasts in Russia.
The unfortunate Admiral who suffers Xenia's thighs early in the film previously appeared in the "unofficial Bond" Never Say Never Again. Presumbly his murder was punishment for starring in the Thunderball knockoff.
Method Acting: Before filming the sequence in the sauna where Bond hurls her into the walls, Famke Janssen encouraged Pierce Brosnan to run her into the wall as hard as he could, and actually insisted he do it, citing that the walls were padded; Cue irony as Famke promptly managed to break a rib after Brosnan did as she demanded, the very damage her murderous thighs are meant to do in-movie.
Star-Making Role: Partial Aversion. Pierce Brosnan was already famous when GoldenEye was made, but after Remington Steele (which put him on the map) he lapsed into mediocrity. Bond revitalised his career greatly, to the point that he's the only Bond other than Sean Connery to have an active and lucrative film career.
It took a while to get going, but this is where Famke Janssen's filmography started to snowball.
Subverted with Izabella Scorupco, who turned down high profile lead roles in The Mask of Zorro and L.A. Confidential after the success of this film. Her acting career petered out, and she's only been in a few supporting roles since.
The movie came out in 1995. Natalya goes to an IBM office so she can contact Boris via the internet, and gives the sales rep a purchase order as a rather clever lie to use their connection. Computers using 500 megabyte hard drives, with 14.4 kbps modems, seem woefully underpowered today.
Bond's digital camera, and the on-board computer in his car, which he used to send a picture of Xenia that MI6 analyzed on the spot, are within current smartphone or tablet capabilities.
Tuckerization: Jack Wade is named after uncredited screenwriter Kevin Wade.
Unintentional Period Piece: All Bond films are a product of their time, but this one stands out as being particularly dated to 1995, featuring a mid-1990s plot laden with computers, Hollywood Hacking, and the early Internet. Plus, there are a lot of post-Cold War themes unique to the time period.
The producers originally asked John Woo to direct. Woo declined, though said he felt honored by the offer.
Alan Rickman turned down the role of Alec Trevelyan. There was also talk of Anthony Hopkins playing the role, with the older Augustus Trevelyan originally intended as having been a previous M and mentor/father figure to Bond rather than an equal 00 agent.
John Rhys-Davies was set to reprise his role as General Pushkin from The Living Daylights when Dalton was still on, but the character was replaced with Defense Minister Mishkin.
A subversion from a previous example. Pierce Brosnan was originally chosen to replace Roger Moore as James Bond but wasn't able to get out of his Remington Steele contract leading to Timothy Dalton getting the part.