Totally confused about this one. 
Turn the key, the engine starts, then instantly dies.
 
Fuel pressure is good
Spark is good
Timing is good
 
Anyone have any ideas, I don't care how far left field they are. I'm scratching my head over this
 
88 JDM S/C

Check the close circuit relay and the air flow meter. Both have circuits that if they are not closing, will turn off the fuel pump as soon as the starter is switched off.
 
Easy way to test is to jumper the FP to B+ terminals in the Diagnostic box.
 
If it starts and runs with the wires jumpered, then you've found your issue.

He is looking for something out of left field Knightrous.
Don't disappoint him.
Carpet snake in air cleaner!
Tater up exhaust!!
Come on fellus .  There has got to be other possibilities.

Well thought out knightrous.
 

Thanks for the tip knightrous, but no luck.
Lack of fuel is not a problem.
 
Carpet snake is still happily living in the shed and not the the air cleaner

Fuse for the EFI (15a) might be blown. Maybe just kicking over from the cold start injector?

Same problem I am having with the track spyder , will try these ideas to see if it is that. Number one check for spud.

Have you tried disconnecting the Coolant temp sensor, & just bypassing it?  I've had a similar starting issue, it wouldn't fire up, disconnected the sensor, & although a little rough when first started (approx. 30 secs) runs fine after that. 

@Rallyadub
the fuse is fine, but it does appear to be cold start only, and no injection afterwards
Do you know where the EFI relay is located, none of my fuseboxes have the correct covers with markings any more

Look in the Big Green Book (BGB) manual p. FI 110
 
The relay is the round knobby looking one in the box near the battery
Its the one farthest from the strut tower. You should hear it click when you turn on the ignition.
The book has a way to test it if you have a multimeter.
 
The other round one is the injector relay which you can test.
 
The solenoid resistor also comes into play.
 
Look for damaged wires, plugs with rusty terminals and loose connectors and give looms a bit of a shake which might highlight a dodgy connection
 
Good Luck!