The character of James Bond has been associated with gambling from the very start -- literally: The first page of Ian Fleming's inaugural 007 novel, Casino Royale, which was published in 1953, finds the suave British spy seated at a roulette wheel in the small hours of the morning.
Moving forward, since the debut of the first James Bond movie, Dr No, back in 1962, Bond has demonstrated his predilection for gambling in more than half (12) of the 23 films released to date.
In Dr No, with Sean Connery, it was chemin de fer, which Bond also plays in Thunderball, On Her Majesty's Secret Service, and For Your Eyes Only.
1971's Diamonds are Forever finds 007 in Las Vegas, shooting craps at Circus Circus (with a not-to-be-recommended, if politely expressed, betting strategy: "I'll take full odds on the ten, 200 on the hardway, the limit on all the numbers, and 250 on the eleven, thank you very much.")
The first and only time he's played blackjack on screen was in 1989's License to Kill with Timothy Dalton, while 2006's Casino Royale remake reflected the contemporary poker frenzy, with Bond playing Texas hold'em for the first and only time. Other gambling games he's been associated with include: Gin Rummy (Goldfinger, where the action takes place poolside and Bond isn't actually playing, but instead figures out and thwarts the villain's cheating technique); backgammon (Octopussy); and high card draw (The World is Not Enough, in which again the spy is a spectator rather than a player).
Ironically, if you ask most people what casino game they associate with James Bond, they'll likely state "baccarat," but it's one of the few games he's never played on screen. In 1995's Goldeneye, Bond meets female villain and femme fatale Xenia Onatopp at the Casino de Monte-Carlo (also featured in the unofficial Never Say Never Again), but the game they play is described as baccarat inaccurately: Since the players dealt the cards themselves, this was actually chemin de fer once again.
Returning to the specific question in hand, 1974's The Man with the Golden Gun sees Bond travelling to Macau for the first time, where he gets in on the action at the floating Macau Palace Casino with a popular Asian game called sic bo ("dai siu"), meaning "dice pair" or, literally, "precious dice," we understand. Played with three dice (or sometimes dominoes, apparently), the players are seated at a large table, not dissimilar to a crap or small pool table. As described by "Wizard of Odds" (and "Wizard of Macau") casino-game expert Michael Shackleford, "The game uses three dice and a table with a variety of betting options on the roll of those dice. The odds and table layout may also vary from place to place. However, the payoffs are the same across Atlantic City and Macau, but different from each other. In Vegas and on the Internet, anything is possible." (See WizardofOdds.com for more details.) Grand hazard and chuck-a-luck are western variants of this game.
As far as the money baskets and "multi-story" play depicted in The Man with the Golden Gun are concerned, these aren't intrinsically a part of the game -- the baskets are just a method of transporting bets and winnings (and, in the case of the Bond movie, gold bullets) and aren't often used in casinos but, when they are employed, it's simply a way of accommodating more players on the same table at the same time.
You can catch James Bond playing sic bo once again in 2012's Skyfall with Daniel Craig, when Agent 007 returns to Macau to thwart an inside attack on British security agency M16.
