Suzuki: lights for night driving malfunction

Question
2000 Suzuki Esteem, about 123000 miles
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The headlights and other lights for night driving switch on of their own accord even when the vehicle is not running.  Only running the windshield wipers at high speed can disengage the lights.  But minutes later the lights will switch on.

I have had the "switch" for lights and wiper assembly replaced, but the problem persists.

Answer
I've seen situations where vehicles with systems that are designed to keep the lights on for a minute or so after the vehicle is shut off will malfunction and turn the lights back on again.  if the battery is disconnected and re-connected, does this still happen?  Have there been any water leaks that could have gotten the fuse block wet, and created a short?   I remember back in the late seventies that due to poor sealing of the radio antenna, water(with salts,etc) got in and created a short in the fuse block that engaged the starter with no one in the vehicle.  I've seen alarm systems malfunction and turn headlights on.  Don't discount a defective headlight relay.
Try removing all the other fuses and see if the problem persists. If it does, at least the problem has been narrowed down to a single set of circuits.