ES 300 Won't Run!

Ok so i have a 93 lexus es 300
engine is a 1mz-fe

so the car will run for a little while then die like maybe 5 minutes unless it sits all day then it will run for quite a while and will go maybe 6 miles down the road before it just dies. It will not recrank until it is able to sit for a while.
I have replaced:fuel pump, fuel filter, crankshaft positioning sensor, and got a ignition module out of a junkyard.
what else could it be? or is it possible i got another bad Ig Module?

Test the engine coolant temp sensor, EGR, and IAC valves for proper operation. Any one of those can cause a no-start or die when warm.

Good luck and welcome to AF!