This is a test map I created using QuakeEd and a modified qbsp to allow more than 256 entities to be generated:
http://quaketastic.com/files/lotsofdoors.zip
It's a plain floor, with about 240 doors, of the common, run-of-the-mill "approach to open" variety.
This, obviously, won't run on vanilla, unmodified Quake. I was, however, curious about the other engines. Can I convince you guys to open this map and tell me if it works as expected?