1994 Honda Accord Car stalls

The first thing you need to do is when you can get it to act up, check if you have spark and fuel pressure. If you still have spark, look for a fuel test port, but check for fuel pressure before cranking the engine and trying to start it again. Fuel systems can be misleading. Once the engine has stalled, turn the ignition switch off, and don't turn it back on until you've checked the pressure. If the fuel supply system is okay, that pressure should hold for days, so it certainly will hold for the few minutes it takes to do the test.

From the way you described the symptoms, this is exactly what happens when the pickup screen inside the gas tank collapses. Ten to fifteen miles is common, then it will stretch out again and let fuel flow after sitting about five minutes. Another clue is the stalling will occur when the largest volume of fuel is being pumped, which is when coasting down from highway speed.