I have a 2003 Ford Escape and when I shut off the truck and open door the radio does not shut off. I checked the book and it showed the power distribution box and what was linked to the radio. The electric mirror and cmoke lighter are on same fuse in distribution box and if i try to use either one while the truck is off, it shuts off the radio, but then when I stop trying to use them the radio comes back on. I have no idea what could be wrong and don't want the battery to go dead, cause the girlfriend has to go to work in morning after I leave.

 

I know this is old but in case this helps anyone else, I though I'd post. It took me months to find the source of this issue in my 2003. Locate and pull the accessory power relay. It's in the inside cabin fuse box. Your manual labels it ACC in the diagram. In a 2003 Escape, it's right in the center of the fise panel. Use a multimeter, set to measure ohms, to look for a closed circuit on the non-energized relay crossing pins 3 & 5. You SHOULD see NO connection. IF you DO see a connection across 3 and 5, then your relay is stuck "closed" and this is why your radio stays on. Cheap, easy part to replace, but causes major headaches when it is bad.

$13 part at Autozone. Cheaper if you order online.

 

Did you find out the problem? I have the same issue