Recorder in pop and rock
Recorders are only occasionally used in pop and rock music.
Sometimes they are used for their clear connotations of being simple or rustic. That is certainly the case in 60s hippy music such The Association’s Windy.
Similar but different, British progressive rock of the 1970s had lots of folk music influences, so groups such as Gentle Giant and Gryphon, used recorders amony many other non-traditional rock instruments.
In other cases the recorder is used as just another wind instrument, taking a solo spot in a song. See David Cassidy’s “Daydreamer” and Billy Joel’s “Rosalinda’s Eyes”. Unfortunately, in such cases the instrument is usually played by a flute or sax player, and the performance leaves a lot to be desired. That is certainly the case in those two aforementioned examples.
Finally,sometimes the recorder is use for providing an unusual texture. See The Undertones’ “Hannah Doot”.
Songs that do not have a recorder despite some people claiming they do:
King Crimson: Dance of the Puppets. I’m guessing a Mellotron or other keyboard.
Kraftwerk: Autobahn. The 20 minute version has nice flute playing. No recorder.