Why would my car stall out when the transaxle light comes on?

Have ODBII codes read and post here.

check timing, adjust valve clearance, check vacuum leaks. these are some that need attention.

I would be suspect of the MAF sensor. It will not throw a check engine light.

Not familiar with this model, but suspect crankshaft sensor when tach is erratic.

Disengage the traction control if possible see if that helps. the oil light will come on after stalling, because the key is on.. just like when you start the car. it may be dirty fuel system... filter and or injectors...

Replace the Torque Converter Solenoid in
the transaxle

What you have is like coming to a stop with
a manual shift & not pushing in the clutch & it stalls
the motor

The converter clutch is staying locked & your
trans is connected to the motor

Clean the throttle body and check or replace the idle control valve. Also check or test the throttle position sensor.

Sounds like a classic crankshaft position sensor problem to me.

If I'm understanding the symptom correctly its probably the torque converter clutch solenoid.(TCC) If your handy get the repair manual and check out the section for torque converter clutch solenoid.(TCC)
This solenoid locks the engine to the transmission.
Its disconnected by the brake light switch.
It will only engage if your vehicle is at opertaing temperatures,cooling fan has cycled twice and traveled above approx 40 mph's.
If the brake light switch is defective it woun't tell the TCC to let go and your car will stall out but will restart again and you will be able to drive. But if its the TCC it self you will be able to start but you will stall out the minute you put it in gear. She will not disengage the converter unless engine is NOT at operating temperatures.(ENG COOLED DOWN)
You can buy repair manual and check it out yourself.
If you test drive it remember the only thing you can control is the speed of the vehicle. Keep it under 40mph's . The TCC needs all three criterias before it engages.
If this is your problem the TCC cost about $75 bucks.
Its located at the rear of the transaxle four or five bolts to remove the transaxle plate a little fluid will fall out . (nothing to scare over) Take a picture of how the TCC is routed with your cell phone unplug it and take it out. Route the new one as per your pic, plug it in, put a new gasket on the plate and bolt it back.
Check fluid level and test drive . Then recheck fluid level. good luck
If you give to a shop it will cost anywhere from $150 to $250.

I had a similar problem the car would start fine then when driving it would just stop - if i waited long enough it would restart just fine and the same thing would happen. I replaced the crank sensor and the cars been running fine ever since. Even though the sensor ohmed good when cool???