This is actually turning out to be really fascinating. I wonder what people would have a stronger association with: the brand name or the game itself?
Slightly off topic, I have to admit the game I would most kill for the chance to remake is the original X-Com (or UFO: Enemy Unknown as it was known over here). I'm just a little disappointed the rights for that have all been bought up and they're releasing it as an FPS.
There's 2 version of X-Com being released I believe. Firaxis is working on the traditional turn based game. And it is dubbed X-Com Enemy Unknown.