Ascended Fanon: Bond coming from a huge manor is a third-party addition from the novels.
Banned in China: It is actually censored for a scene where Bond himself kills a Chinese security guard and for the parts where Severine mentions of being a child prostitute in Macau.
Development Hell: Production stalled for a while as MGM went bankrupt and Eon decided to wait until the studio got back on their feet... The entire creative team agrees that the delay gave them the time to fine tune the script. Plus, the eventual release date ended up coinciding with the franchise's 50th anniversary.
Easter Egg: If you pay close attention to the title sequence, Silva's torture is in there too, right after the Chinese dragons. Notably, it's fire themed, as opposed to Bond's parts, which started with a water theme.
Jossed: A common fan theory was that "James Bond" was a code name or otherwise not his birth name, much like Legacy Character M. Skyfall pretty much shoots this one down.
Recycled Script: It's similar in concept to The World Is Not Enough; both involve an abduction victim left to their fate by M, and she's forced to deal with the consequences of her decisions when said victim wants revenge. They are also the only Bond films where M is actually part of the story rather than just giving Bond his briefing and sending him on his way. Both also feature scenes in Istanbul as well as a chase scene in London (a rarity for Bond movies, despite London being in nearly every film); the introduction of a new Q; and Bond recovering from a shoulder injury sustained in the Bond Cold Open.
The Red Stapler: The demand for the Wild and Wolf scrabble mug Q was using in the film soared soon after the movie's release.
As did the china bulldog paperweight. Royal Doulton couldn't make them fast enough.
Sean Connery was the director's first choice to play Kincade, but he ultimately wasn't approached for fear that it would take the viewers out of the movie. Some of Kincaid's lines suddenly take a whole new meaning when one realises Connery was envisioned for the role. Especially the one where Bond asks him if he's ready, and Kincaid replies "I was ready before you were born". Daniel Craig was indeed born 6 years after 1962's "Dr. No".
Director Sam Mendes has stated he originally planned to open the film with the Bond Gun Barrel sequence, but realized it would have conflicted with the shot of Bond walking into focus in the first scene.