“No Time At All” from the Broadway musical Pippin starts out in a rubato two-beat intro and then goes into a hard shuffle:
It’s almost like two separate songs between the first and second parts, so I’m not sure if it counts. I played piano in this musical in high school, and I feel like there may have been another song or two that changed rhythms like that. “On The Right Track” moves around from swing to a syncopated 4/4. “Extraordinary” goes from a shuffle in the begging, to a 3+3+3/8 to a driving 4/4 rock (the conductor’s score notates it as “straight driving rock”), as well. Oh, and “Finale” starts with a loose, swinging 3/4 before building up to a driving rock ending.
But, yes, @Disinfectus, I do concede that by any reasonable definition of “quite rare,” it probably qualifies. Not as much as something like hearing 11/8 in Western popular music, but with the millions of songs out there, it makes up a very small percentage.