My car dings if the door is open, regardless of whether or not the key is in the ignition or the lights are on. Is this normal?
I have the opposite problem. Mine doesn't ding most of the time even with the key in and the engine running.
Just unplug the wiring harness that attaches to the white box looking thing near your center console. Get under the dash and look up. This will turn off the door chime and the chime that happens when you put in the key.
If you want just the door chime off, cut the black wire with the purple stripe, that attaches to the wiring harness on the white box. Make sure to tape up the ends of the wire so you don't short anything out.