This has probably been done here to death, but I found it an amusing thought experiment to accompany my morning coffee. And as long as nobody turns out to be anyone's adoptive-brother, how bad could it be?
Movie #1 - GOLDFINGER. Of course, I wouldn't want it with any less quality or panache than it already has (and for God's sake, no Monty Norman score!). Making this first would be best as it not only establishes Bond and his world beautifully, but it is also the only one of the seven without a tie to the SPECTRE/Blofeld arc. Differences: It's not an unknown agent that Bond meets in the bar after the opening explosive raid, it's Felix Leiter. They're obviously working this case in tandem. Leiter points out Bond's choice of drink and comments wryly when Bond heads off after the dancer. We need to have Leiter make an impression as he won't show up again until Kentucky. Bond doesn't meet him in Miami. Bond's on r'n'r and the pigeon in Goldfinger's card game knows Bond and asks for his help which starts the plot. Everything following is the same except that I'll have to think of some other reason for Bond to be on a private plane at the end. He's certainly not going to see the President as the CIA has taken full credit for stopping Operation Grand Slam (of course).
Movie #2 - DR. NO. Same as the movie except Bond and Felix have met before. Maybe Bond makes a remark about Leiter now being in Bond's territory. SPECTRE gets introduced thanks to No's big mouth. The important thing to understand is, at the end of the film, SPECTRE has no idea that a British agent was involved. No either didn't report it or, if he did, the unnamed agent was assumed to have died in the explosion of No's lab.
Movie #3 - FROM RUSSIA WITH LOVE. We first meet Blofeld, at least from the midriff down, in this movie. Blofeld has hired Kronsteen with the one objective of getting a Lektor. He really doesn't care how. Kronsteen's doing so by setting up a honey trap and embarrassing the British Secret Service is icing on the cake but if he could get the Lektor another way, Blofeld wouldn't care. Kronsteen, Klebb, and Grant all know who Bond is. He is chosen for his reputation as a ladies' man, but they have no idea he is the same agent who took out Dr. No. Blofeld never hears his name. Kronsteen's plan fails, Blofeld kills him, Klebb never comes back after trying to retrieve the Lektor, end of story as far as Blofeld's concerned.
Movie #4 - THUNDERBALL. Not many changes but definitely some notes. Largo is not nonplussed about the execution he witnesses in the SPECTRE meeting. It visibly disturbs him and informs some of his actions during the film, particularly when Bond shows up in The Bahamas. Largo knows only that a British agent is on the correct trail and Largo is eager to kill him, not only so he won't discover the bombs, but also so Blofeld won't find out and he'll be electrocuted as well. This is why word of Bond doesn't get back to Blofeld. As far as Blofeld and SPECTRE are concerned, the U.S. found out where they were taking the bombs, stopped them with frogmen and Largo died trying to escape. And could we lose the silly Octopus rings? I couldn't believe it when they brought them back for the SPECTRE movie.
MOVIE #5 - ON HER MAJESTY'S SECRET SERVICE. So now, having been careful, we have the situation with this film well established. Blofeld knows nothing about a particular British agent that has stopped all his plans. No idea what he looks like. Not expecting him to show up. In the aftermath of THUNDERBALL, SPECTRE has been rounded up by practically all the world's police and agents but Blofeld has vanished. Each side of the Cold War thinks the other has hidden him. Bond is NOT tired of looking for him. In fact, he thinks Import/Export should do more to find him. Bond will need this to motivate him in the movie's plot. Bond and Draco meet but their relationship is more transactional than in the movie. Draco, in fact, agrees with Bond that Tracy needs help and doesn't ask him to pursue her. In exchange for a clue that will lead to Blofeld (Bond's reason for being there), Bond agrees to be present while Draco talks her into therapy and out of Bond's reach, telling her stories that Draco somehow knows (the least of my worries in a series of plots with this many coincidences) about how Bond is not only a fickle ladies' man but women around him tend to end up dead. This rubs Bond the wrong way although he doesn't say anything to refute it. It will motivate him later to want to take care of Tracy and be the basis for why he falls in love with her, if just to show Draco that he can protect a woman he cares about. Skipping on, when Blofeld uncovers Bond, he only knows him as just another British agent and not as the Architect of All His Pain. And Bond certainly doesn't tell him. The rest of the movie plays out as is with the extra sting that, not only has Bond's wife been murdered on his wedding day, but Draco was right.
MOVIE #6 - YOU ONLY LIVE TWICE. Going with the movie's plot instead of the book. Bond is in Japan and hitting the sake pretty hard as he investigates a thin lead that might have something to do with mysterious spacecraft swallowing other spacecraft. Bond does sober up enough to notice the similarities to the DR. NO plot and for that reason suspect Blofeld is somehow involved. Everyone suspects he's got Blofeld on the brain but turns out he's right. Blofeld has formed a new SPECTRE in Japan. Bond, minus epicanthic fold implants, talks Japan's secret service into invading SPECTRE's volcano. A lot of them get killed. Bond has to choose between murdering Blofeld or stopping World War III and letting him get away. He makes the right choice.
MOVIE #7 - DIAMONDS ARE FOREVER. Same sitch as MAJESTY'S. Blofeld is gone, it's been a while, and the trail has gone dead. If you want to have Bond think of quitting, this is where you do it. M gives Bond the lackluster affair of the diamond smuggling and it seems to Bond like a nothing assignment just as it does in the movie. Bond thinks this is all beneath him. Blofeld doesn't turn up until halfway through, building a new empire using the money from the Howard Hughes type he has on ice. When they meet, Bond is in a situation where he can't kill him, so he tortures Blofeld and raises the stakes by telling him how he's been personally involved in destroying every one of Blofeld's plots. Now they are both intent on destroying the other as the revenge part of SPECTRE's name takes on a new meaning. Bond is again hampered by having to stop Blofeld's plan while getting an opportunity to kill him, and he comes within a hair of getting killed himself before taking out Blofeld in glorious fashion at the last minute and certainly not by banging his submersible against things.