f00g00 said:
The one that delaminated would keep dying while idling but would start again.
Sounds familiar!
To answet your question, most N/A Supras, in my experiance, a little poorly when cold started. It has to do with the fact that you're actually running VERY RICH on cold starts. You have the CTS telling the ECU to richen up because the engine (coolant) is cold. Also, the cold start injector (which sits on the driver's side of the intake plenum) is running.
The first things I would check would be:
1: Cold Start Injector
2: Coolant (water) Temperature Sensor (not sender. Never get them mixed up!)
3: Get a DVOM and check the AFM. I can get you the testing procedures if you don't have access to them.