Saturn SL2 engine dies shortly after startup.

Hi,

I have a Saturn SL2 about 128644 miles on it and my question is what
can cause the engine to just stop while driving or just idling in the
driveway. At first my girlfriend would be sitting at a drive thru or
at a stop light and the engine would just quit on her. She would have a
hard time starting it right after so she would have to sit there for
about 2 minutes which then the car will restart with no problems. A
week goes by and it did it to me but even after waiting 10 minutes it
will not start. Friend told me i had faint spark but he got a spark
and it started up right away. Then died shortly again but started up
again and then no problems at all. Now if i start the car and let it
sit in the driveway for about 5 to 10 minutes it just comepletly shuts
off, and wont restart until i leave it alone for about 25 minutes and
repeat problem. I have new Ignition Module and coils. new spark plugs
and wires. Replace the ECTS sensor. Clean the EGR Valve to the best of
my Knowledge. I dont know what else could be killing my car.. PLEASE
HELP!