These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
The totally humorless Bond of the Craig era who hates his job, makes a frowny face during sex, and eschew gadgets is becoming this for many fans. He's basically British Jason Bourne, only with more over the top action scenes, and he's lost the humor and spirit of adventure that made the character stand out in the first place.
Then there's the flip side where the humor is intact, but more dry and deadpan (as opposed to overt sexual entendres and puns) and with its thrilling set pieces in each movie with sensational (and practical) stunts, it's as exciting as it's ever been, complete with a Bond with more dimensions than simply the Sex God agent, as well as making M and Moneypenny a full-fledged supporting character and not just the Mission Control and secretary.
Ironic, considering that Craig's portrayal of Bond is by far the closest to how Fleming actually wrote the character - followed by Timothy Dalton and Pierce Brosnan - as opposed to Sean Connery and Roger Moore, both of whom played Bond as more of a happy wanderer drifting through his life and adventures with a kind of cheerful indifference, rarely bothered the insanity surrounding him.
Well, kind of. Fleming loved Connery-Bond so much (once he got over his initial hesitation over having a big, rugged, stocky Scotsman playing what he envisioned as a slender, well groomed Englishman) that he re-wrote the character to be more like him; consequently, the later books almost read like Connery fan-fic. And Fleming's Bond at least enjoyed his job... Craig's hates it.
Perhaps the oddest example is On Her Majesty's Secret Service. Common Knowledge holds it to be a failure of some kind (probably because it's Lazenby's only turn in the title role, so surely it was a bad film?), but critically, and among more committed fans, it's regarded as a classic.
Oddjob. Noted as Pierce Brosnan's favourite character.
The Judi Dench take on M is easily the most memorable version of the character and has received gradually more screen time as her time in the role has continued. Notably her version of M survived the full continuity reboot into Casino Royale.
Alternate Character Interpretation: Is Bond a suave, sweet-talking super agent, or is he a Jerk AssOvert Operative who solves problems by blowing them up? Is he truly loyal to England, or is he just Married to the Job? Is he a misogynist, or does he go through Bond girls like tissue paper because his attempts at real romance blew up in his face? The debate goes on, and each actor brings a slightly different interpretation to the table as well.
Fandom Heresy: "The Codename Theory," which states that "James Bond" is a cover identity given to whatever agent currently holds the rank of 007 (and thus each actor to portray Bond has been a different character) is very divisive. Some like the idea a lot, while others hate the fact that that it turns Call Backs into plotholes: Why do people remember Bond from before he was an agent? Why were souvenirs from Connery!Bond's missions in Lazenby!Bond's desk? Why would Moore!Bond pay respects to his predecessor's dead wife? Why does Leiter recognize Dalton!Bond? Lee Tamahori, director of Die Another Day is a supporter of this theory (and reportedly planned to canonize it by having Sean Connery cameo as the now-elderly "First" Bond), endearing him even less to a lot of fans.
Franchise Original Sin: Everything that went wrong with the series pre-reboot was in evidence in mild form as early as Goldfinger. This is "original sin" in more than one sense, as all those things were inherent to the series' character pre-reboot — enough so that the films with Daniel Craig simply don't feel like James Bond films to some viewers. It runs the other way as well, though not as drastically — Dr. No feels closer to Quantum of Solace than Goldfinger in some respects.
Memetic Sex God: It's often been said of Bond that every man wants to be him and every woman wants to be with him. Memetic Sex Godhood was pretty much inevitable for him.
One-Scene Wonder: M, Q, and Miss Moneypenny in the first 20 films pre-reboot, especially with Bernard Lee as M, Desmond Llewellyn as Q, and Lois Maxwell as Moneypenny. They rarely had much screentime (sometimes it was no more than one scene per film), yet to fans they were an indispensable part of the series.
The Scrappy: Sheriff JW Pepper, a stereotypical racist sheriff. Not only are his racist quips bloody awful now (and they weren't even funny then), he has the most annoying, chippy voice in the entire world. Think Jar Jar Binks crossed with the villains from Deliverance. It's a rare character that can set one's teeth on edge simply by speaking.
They Wasted a Perfectly Good Plot: You Only Live Twice, Diamonds Are Forever (something of a passion project for Fleming who was very interested in diamond smuggling, see his book, The Diamond Smugglers) and the Moore Era. All of which discarded Ian Fleming's interesting and intricate plots for formulaic and often campy affairs. You Only Live Twice in particular, discarded the revenge plot for something of lesser stature, a mistake the producers clearly regretted as they triedtwice to create the perfect Bond revenge film.
Values Dissonance: Instead of spending all day here, let's just say "Early Bond" + "Women" (note that the books have other value issues as well, but the women are most prominent). Roger Moore even looks uncomfortable attempting to imitate such works in The Man with the Golden Gun.
"Early Bond" + "Race" wasn't the best combination, either. You Only Live Twice is somewhat uncomfortable to watch today, and it's been argued quite convincingly that "Live and Let Die" has a fundamentally racist subtext.
Unpleasable Fanbase: Fifty years of films, filmmaking and changing social context means nearly everyone has one period or actor tenure they consider a Dork Age. Is any particular film too lighthearted? Too grim? Too "Cold War spy movie?" Not enough "Cold War spy movie?" Some people like adaptations and performances that hew closer to the colder literary Bond, others think that man's reprehensible racism, misogyny and homophobia is best left in the past and prefer the more humane take on the character.
Values Resonance: After the Cold War ended, there was some speculation that James Bond had no place in popular culture. However, with 9/11 and the War On Terror coming into the fold, some have decided that a spy who battles multinational terrorist groups might still be relevant after all.
Nobody Does It Better: The novels written after Fleming's death aren't particularly famous or well-regarded, although Colonel Sun stands out as being the only post-Fleming novel as well-regarded as the originals. It helps that it was written by Kingsley Amis, who was friends with Fleming and (according to some) helped clean up Golden Gun for publication.
Trapped by Mountain Lions: As a part of Ian Fleming's apparent obsession with food and high-class living, many of the books take detours from Bond investigating a world-spanning conspiracy to describe him having lunch. In great detail.
It's a form of Fanservice; readers in the 50s would have been subsisting on more meager food since the beginning of World War II. To them, it was very escapist.
Values Dissonance: Communists are never up to any good. Bond likes but patronizes Blacks, hates Koreans but loves the Japanese, and thinks "sex equality" has fostered bisexual misfits.