why is my car sputtering and then shut off when at a stop sign/red light?

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Hello All! I need help, desperately!! I have a 2002 Camry Toyota V6 XLE, which has about 101,000 miles. For the last 8 months I have been experiencing the same problem over and over. When approaching a stop sign or a red-light my car starts to sputter/"shake" and then when coming to a complete stop the car just shuts off ( music still plays) and all the lights turn on, on the dash. The car turns back on while tapping on the gas while i am turning the key. I noticed that the RPM is less than 1000 when it occurs and also the "needle" or what ever you call it, flickers as the car is sputtering. I brought it to Toyota, where they fixed an air flow meter, and a mass air flow sensor. That did not take care of the problem. The car continued to present in the same manner. I then brought it to Firestone, and they said it could be a pump vac or something, which they replaced. Once again, this did not fix the problem. Now 8 months later and $1,100 poorer, my car is in the same condition. No check engine lights are on when this occurs. What could it be? Please help!!!