My 1999 Honda Accord will loose all power and then a couple seconds later shut off. We loose all fuel pressure and after waiting several minutes, it will start back up and run.

I had that problem. I had to replace 2 crack sensor that comes together in my timing belt cover. I didn't have any problems with it anymore. Check your code first to see if that's the problem .

Could be the Ignition Switch. Bad ignition switches can cause a car engine to shut off or stall. 1999 Honda Accords are known for having defective ignition switches installed, which Honda issued recall. Check with a Honda dealer to see if your model is part of the recall group & qualifies for replacement. I’m currently on my third ignition switch, this last one I replaced myself.