* BizarroEpisode:
** "Mother" on ''Music/{{Synchronicity}}''.
** To a lesser extent, the two instrumentals on ''Zenyattą Mondatta'' ("Behind My Camel" and "The Other Way of Stopping").
** "Masoko Tanga" and the interlude of "Be My Girl - Sally" from ''Music/OutlandosDAmour''.
* BrokenBase: Very few examples of this among the fandom, but they are there. For example, what was better? The original version of "Don't Stand So Close To Me", or it's 1986 remake?
** Those who like [[https://www.youtube.com/watch?v=18OCCAqlx7k the former]] call it a classic among the band's repertoire and enjoy it for its fun, upbeat sound, while criticizing for the '86 version of its more depressing sound and the fact it was a drum machine, not Stewart Copeland, that provided the drums on the track.
** Those who prefer [[https://www.youtube.com/watch?v=4jSl-Lr4VuY the '86 version]] like it because the more somber music fits the lyrics better; and because it sounds more mature and atmospheric with its 80's synth pop sound to it, while criticizing the original for being way too upbeat for a song that deals with such a dark and serious topic.
* EarWorm: Many songs by them.
* EnsembleDarkHorse: Stewart Copeland. Rolling Stone readers voted him the 5th greatest drummer of all time in 2010.
* EpicRiff: "Message In A Bottle" and "Every Breath You Take" are the most famous.
* FaceOfTheBand: Sting. The other two are still well-known and ''very'' respected, but his popularity eclipses theirs by a longshot.
* HoYay: All three of them, [[VitriolicBestBuds when they weren't at each other's throats.]] Sting has remarked on the "sexual tension" between him and Copeland, and Andy Summers' biography details quite a few man-dates.
* IncrediblyLamePun: "Friends". "I like to eat my friends/and ''make no bones about it''".
* MisaimedFandom: It's amazing how many people don't realize that "Every Breath You Take" is ''[[StalkerWithACrush not]]'' a love song.
* NeverLiveItDown: They fought a lot. In an interview before their reunion, Andy Summers lamented that this had become a cliche of the group.
* NightmareFuel: The song "A Kind Of Loving" is just over two minutes of a woman screaming over a backing track. Admittedly a soundtrack piece but when you hear it on ''Message In A Box'' it stands out like a sore thumb.
* SignatureSong: Quite a few, considering how brief the band's tenure was.
** [[Music/{{Synchronicity}} "Every Breath You Take"]], "Message in a Bottle", and "Roxanne" tie for gold (these are the three songs most people think of when the band is mentioned).
** "Every Little Thing She Does is Magic" and "Don't Stand So Close to Me" tie for silver (two of their most beloved songs, but not as ground-breaking as the previous three).
** "Walking on the Moon" and "Can't Stand Losing You" tie for bronze (probably the best representation of reggae in their catalogue).
** Honorary mention goes to "King of Pain" (a great song, but doesn't capture the distinctive Police sound).
* SoBadItsGood: "On Any Other Day".
* {{Wangst}}: "King of Pain" from ''Music/{{Synchronicity}}''. It doesn't really have any overt whining or self-pity apart from the incredibly vague "but it's my destiny to be the king of pain", but the title is super angsty and the lyrics are full of little depressing vignette [[BuffySpeak things]].
* TheWoobie: The nameless main character in "Synchronicity II" from ''Music/{{Synchronicity}}''. His family life is a ball of insanity, his job sucks, and by the end of the song he may be losing his mind from the combined stress.

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