The dash lights (battery, door open, brake, etc) lights come on and then the car cuts off. We have replaced the battery, the alternator, the ignition switch and the main relay fuse. Car is still doing the same thing. Any ideas?

I suspect the problem will be solved by replacing the Ignition Control Module (ICM) and coil. Be sure to apply silicone heat transfer compound to the back of the new ICM. Failing ICMs often don't throw a code.

SInce a 1999 is an ODB2 car... did anyone bother to pull codes to check to see what the computer says is bad before you started spending money replacing parts?