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.
Americans Hate Tingle: The film did poorly in South Korea; audiences there resented the film's portrayal of the South Korean military taking orders from Americans. There was also some outrage over the decision to have a sex scene in the vicinity of a statue of Buddha.
Broken Base: Fans of the campier elements of the series loved this film, while fans of the more serious films (and novels) hated it.
Critical Dissonance: Despite generally mediocre reviews, it was a huge box-office success, something all the more impressive when you consider that 2002 had perhaps the most competitive holiday season of the modern era, with The Two Towers and Harry Potter and the Chamber of Secrets, among many others. However, the producers realized that this was more in spite of the film than because of it, and decided to shake things up big-time for the next entry.
Hilarious in Hindsight: In Madonna's "Beautiful Stranger" tie-in video for Austin Powers: The Spy Who Shagged Me, Basil Exposition mentions that Madonna has already seduced 007 and 008. And now she gets to be the theme singer and have a cameo in an actual Bond film.
Like You Would Really Do It: Zigged zagged trope. It's a mild surprise that Bond gets captured and horrifically tortured instead of making a daring escape, but nobody believed for a minute Bond was being sent in front of a firing squad. Or, that Moneypenny would get killed.
Love It or Hate It: Madonna's title theme is a somewhat divisive song. Those who dislike it cite the horrific autotune, and those who like it seem to treat it as Narm Charm.
Misblamed: While director Lee Tamahori tends to get all the blame for the film's various faults, producers Michael G. Wilson and Barbara Broccoli and screenwriters Neal Purvis and Robert Wade have admitted that they're really the ones at fault for the film's tone and storyline, and that they completely misjudged what the fans wanted from the series.
Narm: Every single line out of Jinx's mouth. Between the hurricanes of double entendres, pointless references to her nickname, whining about Bond not saving her quickly enough, and awkward blaxploitation one-liners, the character simply doesn't have well-written dialogue.
The completely serious use of laser beams to threaten Bond with, five years after Austin Powers made this impossible to take seriously.
The invisible car is damn near impossible to take any way seriously.
Madonna's title song, which is autotuned within an inch of its life and goes to some pretty bizarre places (Sigmund Freud? Really?). At times it seems rather apt that it plays over scenes of Bond being tortured.
It also didn't help that they were planning on giving Jinx her own spin-off film series, which was thankfully axed when her reception made it clear it wouldn't make much money.
Sequelitis: Generally regarded as Brosnan's worst Bond film, and among the worst overall in the official canon. What's worse, it was his last one on screen. (His true final role was the PS2 Video Game, Everything or Nothing.)
So Bad, It's Good: Some opinions of the film, by no means one of the best Bond films of the franchise, but offset by its ridiculous premise alone that makes for some fun watching.
Special Effect Failure: Never have a screamingly obvious CGI tidal wave and surfer in a movie that's already featured actual surfing earlier.
Another example comes right before the CGI surfing: when Bond's sled falls of the ice cliff, it's very obvious that it's a scale model.
To a lesser extent, Jinx's backward dive off the cliff.
And the clearly-CGI cars sticking out of the ground in one piece after falling from a plane.