1996 mitsubishi mirage 1.5L,ENGINE shut off while moving; ignition,ECM ,CKP sensor,ECM relays were REPLACED and still doing the same. Crank and START fine but few minutes it DIES

I would drive it from point A to point B and then it wouldn't crank or start for 45 minutes! ??? Sorry but that would have nothing to do with neutral safety switch ! Something to do with electronics, when they get warm they fail till they cool off. Suggest you have a qualified repair shop do some testing , it's obvious you don't know how. Just replacing parts isn't the way. ( I have replaced relay and fuse box. I have also replaced the Crankshaft Position Sensor and the Ignition Switch) You have no clue how complex the electronics are on that vehicle, do you? What happens when you turn the key to start ? Circuit Description
When the ignition switch is turned to the Start position, the body control module (BCM) receives battery voltage on the ignition 1 voltage circuit, and less than 5 volts on the off/run/crank voltage circuit. The BCM supplies voltage to energize the RUN/CRANK Relay 32. The BCM sends a high speed GMLAN serial data message to the engine control module (ECM) that the key is in the start position. The ECM receives the message from the BCM, and also receives a serial data message from the transmission control module (TCM) containing the shift lever position. If the shift lever is in Park or Neutral when ignition switch is turned to Start, the ECM supplies voltage to the START Relay 31. The START relay supplies voltage to the S terminal of the starter solenoid, through the 30 A STRTR Fuse 26, in order to crank the engine.

Need better info.
when shut off no start batt dead and ignition fuse in bjb replace fuse and still no start or crank no power to cluster cluster dead on commute back ????????? What about ignition fuse ? It was blown an you replaced it or you just replaced it ???? When you shut it off no restart ,the battery was dead ? Test battery , battery cable connections , charging system - is it charging ?
First off your probably unaware of how this vehicle works , This vehicle is powered up by the BCM turning on relays an sending commands over the serial data bus (network) ,do you know what that is ? The ignition switch is a low voltage input to the BCM .
Circuit Description (Key Start)
For ignition switch power modes refer to Body Control System Description and Operation . When the ignition switch is placed in the Start position a discrete signal is supplied to the body control module (BCM) notifying it that the ignition is in the Start position. The BCM then sends a message to the powertrain control module (PCM)/engine control module (ECM) notifying it that CRANK has been requested. At the same time the BCM is supplying 12 volts for the IGN 1 relay closing it and supplying battery positive voltage for the crank relay coil. The PCM/ECM verifies that the transmission is in Park or Neutral. If it is, the PCM/ECM grounds the control circuit of the crank relay. When this occurs battery positive voltage is supplied through the switch side of the crank relay to the S terminal of the starter solenoid.

Check the Ignition 1 relay -
Relay Controlled Power Mode
The body control module (BCM) uses the discrete ignition switch inputs ignition 1, ignition 3 and crank to distinguish the correct power mode. Once the BCM has determined the power mode selected by the vehicle operator it will energize the Ignition relay, Run relay and retained accessory power (RAP) relay, depending on which power mode is selected.
Ignition 1 Relay
The relay uses a Hot At All Times B+ power source derived from the underhood electrical center. The ignition 1 relay supplies a power signal to the following circuits when the Run or Crank power mode is selected:
• AC clutch relay
• ABS STG angle sensor
• Antilock brake system (ABS) yaw sensor
• Auxiliary power drop connector
• Crank relay
• Cruse control switch
• Electronic brake control module (EBCM)
• Engine control module (ECM)
• HVAC module
• Ignition control module (ICM)
• Instrument panel cluster (IPC)
• Sensing and diagnostic module (SDM)
• Transmission solenoid circuit

code p 322 refers to crank (CKP) sensor / engine speed (RPM) sensor ---no signal===causes ---wiring--CKP sensor---RPM sensor --ECM
as you state that it ran for a distance , that would indicate initially that the sensors are good but the ECM (engine control module) may be suffering over heating component failure
have the ECM tested

p0335 is a crank shaft sensor error. This sensor is what tells the ECM when to send spark to plugs. That is why it wont start.

I have the same issue on a 94 B250 - replaced ECM, cam and crank sensors - still only coil primary with initial relay cycle, then nothing during crank. Was told ECM needs signal from cam and crank to send primary to coil. Very confusing - all wires connected.

I would make sure you have voltage to the coil. Could be a fuse or relay problem. Is the check engine light on when you turn the key on ?

it cuts the fuel off.

Without knowing make or model Po725 is a Chrysler code for Engine Speed Sensor Circuit
Possible Causes- - Open or shorted CKP sensor circuit condition
- Poor CKP sensor electrical connection
- Check communication error between the ECM and TCM
- Failed CKP Sensor When is the code detected- The P0725 Codes is triggered when TCM does not receive the engine speed signal from ECM. Chrysler description- The Engine Control Module (ECM) monitors the engine speed through the Crankshaft Position (CKP) sensor with the engine running, and send signal to the Transmission Control Module (TCM

Youll have to take it to someone whon has an OBD, not OBD2 hook up.

poor start, very poor gas millage