Believe this has already been stated, but ballast resistor is number one cause. Then we have the ignition switch, Blue wire from switch to bulkhead connector, blue wire from bulkhead connector to ballast resistor, and then brown wire from ballast to coil
When you turn the key to Start, power comes out of the ignition switch thru the the brown wire to the bulkhead connector and then comes out under the hood and bypasses the ballast resistor and goes to the coil...that way you get full power to the coil for starting.
When the engine starts and you let off the key back to the Run position, power then comes out of the switch on the blue wire, goes to the bulkhead connector, comes out of the bulkhead connector under the hood and goes to the ballast resistor...then comes out of the resistor and goes to the coil via the brown wire on the other end of the resistor.
usually as I said, the ballast resistor goes bad so the car starts, but when you let off the key to Run, there is a break in the circuit so the power cannot continue to the other side and on to the coil
I would turn the key to Run (On) and go to the ballast resistor and see if there is power at the ballast resistor where the blue connects. If there is, I would then check the other end of the resistor and see if you power there (should be more like 7-8 volts instead of 11-12.
If not, change the resistor.
If you did not have power on the blue wire at the resistor, I would get under the dash and see if you have power at the blue wire where is comes out of the column to the the connector.