Car runs for 20 minutes then dies . wil start again after waiting 5 or 10 minutes its a 2005 pontiac sunfire

SOURCE: 1999 pontiac sunfire will not start

Maybe the starter is not notify to the engine.

SOURCE: I replaced the head gasket on my 97 Sunfire it doesn't start

If your timing is off you will have no power.check and make sure all timing mark's are correct.Some engine's are contact motor's,which mean's if your timing is off you could cause damage to valve's or piston's.Also you should do a compression test to be sure each cylinder has adequite pressure.Hope this help's.

SOURCE: 88 pontiac 6000 shudders and stalls after approx. 30 min. driving

What was replaced in the tune up? Usually the coil paks cause these types of issues. Also fuel filter or fuel pump will allow enough fuel to start and sputter like you describe.

SOURCE: 2001 Sunfire will just die

location of pcm on 2001 pontiac sunfire

SOURCE: i have a 95 pontiac sunfire, it died on me a lil

Your, car has a crankshaft sensor that, may not working.
Check, the sensor, it is located ( Near the Crankshaft,) You'll
need to look from under the car.
Or It may just NOT have a good connection.
Wet, DIRT bad connection rust on connector.