Eddie, “Lucy in the Sky with Diamonds” is a perfect example of the OP, to me – the opposite of what you observed! Musically, in terms of chords (that arpeggio against a descending bass) and lyrical interest, it’s more complex and creative than the chorus. I can see why you’d get tired of John’s limited melodic vocal range style in the verses, though, and also why you’d enjoy the amped-up blast of the choruses.
R.E.M. were prone to this as well. I can’t think of a perfect example at the moment, but “Try Not to Breathe” would be on the list.