I have a wierd electrical problem (I guess there aren't many electrical problems that aren't 'weird').

When I turn my parking lights on...the passenger one is out, as is the passenger corner. The driver's side & the rear lights are on as they should be.

When I turn the turning signal to turn right, I hear the flasher, but I don't see the right light on the instrument panel...BUT...the parking light & corner light are flashing. They are extremely dim compared the the driver's side when it blinks.

I've replaced the flasher, all the bulbs (including the rear). The wiring is all in the conduit and looks good in my spot checks.

Does this sound like a bad socket or something familiar to anyone? I'm at a loss.

Check the ground connection at each corner. The power source for parking lights is a single wire, the other side is "paralleled" from the source lead.