I have a 1992 Honda Accord. I have replaced the timing belt/system. The car starts up at first and then once you start driving it, it cuts off. You have to let the car sit for about an hour or so and then it will start but only go so far. We have replaced the main relay switch. What else should we be looking at? I don't want to keep spending money into this car if this is a major problem. Someone said it could be the tort converter? Does that make sense. Please help.

Replace the Ignition Control Module (ICM) and coil:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563-4.html#post265896

I had kind of the same problem with my 1992 Honda accord. MIne would turn over but not crank and it was the pick up coil on the distributor. Yours may be getting ready to go out.