At the risk of being flamed by the Comparator a good start would be for Eurocopter to at least have a fleet management operations centre like Sikorsky's FMOC.
Sikorsky takes HUMS from all of its aircraft and compares the readings from the worldwide fleet. Differences in HUMS readouts from the fleet norm are immediately apparent. In fact, some trial aircraft are streamed in real time so it is possible today with helicopters and should be adopted as standard practice.
I would also like to see tail pylon and other cameras fitted to allow the crew to view external parts of the aircraft for oil leaks etc, surely it is also technologically possible to have pictures able to be transmitted back to base.