[Robert Connell]

How do I get the dome lights to turn on when the drivers door is opened on my 2003 CRV?

 

[racoon]

The dome light switches have three settings. On, Off, and On When A Door is Open.

 

[BDub]

If the light still doesn't come on with it switched to "door", your door switch may be bad. The switch provides a ground for the light. Does it come on when any of the other doors are opened?

 

[racoon]

If the light still doesn't come on with it switched to "door", your door switch may be bad. The switch provides a ground for the light. Does it come on when any of the other doors are opened?

This is a very good point.
The door switches on the 1st Gen CR-Vs often got "stuck" and the light never knew the door was open.
It looks like a little black nipple on the door frame. Push it a couple of times to see if the switch is working.