[NeatNit]

I think you should first of all see how it handles the head-against-the-wall method of recording every state of every button every 5 ms, and later being able to play it back. It's very likely it would run out of memory very fast, but this is the basic version.
From here there are many tricks that can make it more reliable for longer recordings: saving each button separately and only when it toggles, instead of every 5 ms; saving the joystick positions less often (every 20 ms?) and using the VI that extrapolates between points during playback (I forgot what it was called). Those are just two powerful examples, and will likely get the job done.