Thanks to HXville For This Article!!

Here's a solution to install an aftermarket stereo in a 96-00 Civic and keep the dome light triggered by the door switches w/o hiding the factory radio inside the dash or cutting any wires:

On the larger green plug-in harness find the light green wire w/ black stripe and the light green wire w/ red stripe.

Create a 2" jumper wire out of slightly larger gauge braided wire.

Trace the location of each of these wires into the plug-in and firmly press the jumper into each of their locations.

Check that the dome switch is in the center position and open each door to make sure that the switches are again working.

Secure the jumper in place by taping it to the plug-in, reinstall your aftermarket unit, and enjoy...