Perhaps there is a possibility of an acceleration rate check, based on ambient conditions and groundspeed, driven by GPS/RAAS and triggered when the TO/GA switches are pushed on departure? Something for the boffins...
I think Trimotor came closest to a practical suggestion here. But I keep coming back to my point that any check has to be calculated for each take-off using the same variables as the original take-off calculation. IE it will vary for type variant, weight, departure point, slope, rwy surface conditions - the list is long!
So it will be subject to the same input error and be pointless.
If the input is correct then the performance will be correct. I suggest we are concentrating on the wrong end of the problem.
We should be thinking of how to ensure the correct figures make their journey from the airport data and loadsheet...to the performance computer...to the FMS.
That is the key. So simple and yet so full of human factor traps...