1999 Honda Accord Engine shuts off at idle and while moving

We also have a 1999 Honda Accord EX (ULEV-VTEC) that has been doing the same thing as other people have written to you about. We have replaced the fuel pump, BOTH oxygen sensors, 2 catalytic converters, the muffler, the nox-sensor, the oil sending unit, hmmm. Whatelse? We have been over this car every which way. The car shuts down when at an idle and sometimes while driving. It is very random. It won't start (but will turn) for about 2-3 minutes after it happens. Then, it runs fine until it happens again. No codes, no nothing. Any ideas? We need this car to work. Honda can't even figure it out.