I always thought of "Surfin' Bird" as a satire, and found it to be kind of funny in a likable sort of way. Although I don't know how serious or satirical it was intended to be.
Among songs that are well known and were huge commercial successes, my pet dislike is "Hey Jude," by The Beatles of course. And I say that as one who is a fan of much of The Beatles' music.
Regards,
-- Al