I remembered, as I wrote earlier about And I Love Her, that Leonard Bernstein played (and sang, with more than a little condescension) the song in one of his Young People’s Concerts. This occasion is often cited as an example of Bernstein’s popular touch, using a new Beatles recording to demonstrate sonata form. I remember hearing about it while at The School of Music: “Bernstein used a Beatles song to demonstrate sonata form”. Subtext: “Wasn’t Lenny hip?”
Except that And I Love Her isn’t an example of sonata form. And Bernstein, who was pretty hip, didn’t play it as a demonstration of sonata form. The popular version of events is a conflation of what happened. He played it as an example of ternary form (specifically, with the repeated A in AABA), on the way to explaining how that ternary form informs 1st movement sonata form.
If a popular song were in sonata form, it would have some sort of “second subject”, in a key different from that of the first subject, and – this is vital – that second subject would be in the same key as the first later, when they are both repeated.
I know of no song that does this. It’s a good idea, though. Might write one.