I own a 2004 Passat, and encountered the same problem as "barnjeff".
Bottom line:Running lights/Parking lights (noticed these terms are used interchangeably), went out in front, back, as well as the lights over the license plate.
The solution was to buy a new switch.
The switch was $40 at
autopartswarehouse.com and it was received in less than 48 hours!
Add'l info: Before buying the switch, I tried to troubleshoot myself. I checked all of the fuses; all were good. I checked the connector behind the light switch; good. I even whipped-out the multimeter and some other electrical gadgets to ensure current was flowing where need be to all the fuses, and even punctured the insulation of the wire which controls the running lights (GREEN with RED tracing). All were in good working order, thus it had to be the switch. So, crossed my fingers in hopes that it was the answer and it was.
Good luck, folks!
Katy
