Futurama and the Simpsons are really the main shows this applies to, as in both the opening credits have been made to be a feature of the episode.

Simpsons have of course taken it far more extreme than Futurama, by making the sofa gag into an at time extremely elaborate part of the show.

I totally will re-listen to Mad Men's jazzy intro music every time...

That's often true for me too. There's just certain shows for which that's not the case, and I really remember fighting against the interface.

exactly this