Covered Up: "Backdoor Man" by Willie Dixon. Also, "Crawling King Snake" by John Lee Hooker and "Alabama Song" from The Rise & Fall of the State of Mahagonny by Brecht & Weill.
Everyone Is Jesus in Purgatory: "The Soft Parade" could be interpreted as a Stealth Insult against organized religion, with numerous examples of sacred imagery (both Christian and pagan) and its veiled references to the supposed complicity of religion in propping up the corrupted status quo: "All our lives we sweat and save/Building for a shallow grave/Must be something else we say/Somehow to defend this place/Ev'rything must be this way...."
Face of the Band: Subverted. Jim Morrison was clearly the face, but boy, did he resent the implication. Once refused to go on stage after they were announced as "Jim Morrison and The Doors". While Morrison was the principal lyricist, the writer's credit for the groups' music was generally given to "The Doors" collectively, or to "Densmore/Krieger/Manzarek/Morrison", with few exceptions.
Played straight with most recent compilations. They usually just feature Morrison on the cover.
Harsher in Hindsight: After hearing that Janis Joplin and Jimi Hendrix had died at 27, Morrison told friends "You're drinking with number three". Needless to say, He was right.