Funny Moments: One wouldn't think King Crimson capable of managing one, but the Three of a Perfect Pair bonus track "The King Crimson Barber Shop" proves otherwise.
The Lizard lineup in "Bolero: The Peacock's Tale" where they reprise the verse section of the moody "Prince Rupert Awakes" as a Rat Pack-styled swing.
Hell Is That Noise: John Wetton's bass around the 4:02 and 12:27 mark of "Larks Tongues In Aspic, Part 1".
Also the screeching at the end of "Talking Drum"
And the intro to "Fallen Angel"
Tear Jerker: Crim has a bunch to these, but the saddest probably has to go to "Starless".
Also "Fallen Angel", "Epitaph", "Trio", "Waiting Man", "Prelude: Song Of The Gulls", "Islands", "The Night Watch".
Title Confusion: The last song on Red is titled "Starless" on the album cover, but Fripp sometimes announced it as "Starless and Bible Black" in concert. The reason for the shortened title apparently was that the previous album, Starless and Bible Black, contained an improvisation titled "Starless and Bible Black", which was completely different from the song "Starless". The confusion is understandable, given that "Starless" actually contains the lyrics "starless and bible black," whereas "Starless and Bible Black" does not (being an instrumental). Whew.
The band often had (private) parody titles for their LPs. Hence Braless and Slightly Slack, or Tree of a Perfect Pear.
They do this in their improvs as well; One is called "Shark's Lungs In Lemsip".