My wife and I are fans of Doctor Who as well as Star Trek and Star Wars.
Some months ago, I saw a graphic novel that juxtaposed Star Trek: The Next Generation with Doctor Who (apparently, the Borg and the Cybermen had combined forces).
When we started watching Star Trek: Voyager, I suddenly got a little video in my head, a meeting in Voyager's sickbay between the Doctor and the Emergency Medical Hologram (who, btw, is also called Doctor)......
Captain Janeway(CJ): Computer, activate the Emergency Medical Hologram.
Emergency Medical Hologram (EMH): Please state the nature of the medical emergency.
Doctor Who (DW)(quizzically): Who are you?
EMH: I'm the Doctor. Who are you?
DW: *I'm* the Doctor.
EMH: Really? Doctor who?
DW: I was about to ask that question myself. Of course, I've heard that it's the question that can never be answered.
EMH (annoyed): It seems par for the course around here. I requested a name almost seven years ago, and I've not even been given a short list, much less a long one.
CJ: Doctor...
EMH *and* DW: Yes?