Hmmmmmmmmmmmmmmmm..... my dad had a car DECADES ago with an automatic transmission that would stall if you stopped quick and it would barley idle when cold.

It was the transmission - think of it as not fully "pushing the clutch in" when the car came to a stop. I remember he'd often put it in neutral while waiting for a light, then go to "D" and press the gas as soon as it "engaged". It was an old Pontiac, I think he sold that car rather than try to get it repaired, as it had many other problems leading up to that one.

Is this what you are describing? Or is it that the engine just isn't running right?