If I have heard, the G-force affects not only the external physics of the driver (head movement).
Also affects the internal 'state' of the driver, there are some effects like:
>> Greyout - a loss of color vision
>> Tunnel vision - loss of peripheral vision, retaining only the center vision
>> Blackout - a complete loss of vision but retaining consciousness.
>> G-LOC - where consciousness is lost.
from:
http://en.wikipedia.org/wiki/G-LOC
I have thought that maybe when hitting something (a great crash), the effects come to the driver.. like a blackout could happen.
Or even a g-loc, then the driver should reset the car or go to the boxes (this would be harder to obtain probably because another car could hit and flip-out the first, accidented, car).
Also when turning at high G's there would be a greyout as strong as the G force. And also the tunnel vision sometimes, if u do a high breaking or a fast acceleration (also proportional to the G force).
Using a 'vignette effect' and some blur would make this probably easy to achieve.
This improvement could make the game more interesting to players and even get more players wanting the game.
Best Regards