Yep, e32s are notorious for corroded connectors. My e32 showed the same symptoms. I just popped the trunk, wiggled the bulb around a bit and voila, it worked again. Good news is, accessing those bulbs is ridiculously easy on the e32 ... check out your connectors first, could be as simple as just moving the buld around a bit.
Just a note, if the connectors are corroded it may take a bit of playing/cleaning to get the bulb to work. First time I moved the bulb around it did nothing. Then I went through the motions of checking the fuses, trying different bulbs, etc ... until I tried moving the orginal bulb again which eventually worked, and stayed working for the duration of the time I owned the car.