GURPS Doctor Who (ish)
Sort of.
The players will be companions of a Time Lord, though not The Doctor - someone different, in temperament and capability, so as to not overshadow the group. Someone less apt to involve themselves unless absolutely necessary, but still feels compelled to surround themselves with non-Gallifreyan companions.
I'm also open to crossing over with other science fiction fandoms that could conceivably fit into the Doctor Who universe. A Judge Dredd, Blade Runner, Aliens, or even Star Trek or Star Wars crossover is possible; a Marvel or DC - creating widespread changes to the "now" status quo - is less so.
That said, the general conceit is that players will be "people who know the Time Lord" from different points in time and space who, through plot contrivance, are endangered through this friendship. Out of guilt, duty, or compassion, the Time Lord scoops 'em all up in a TARDIS for safety's sake - as long as they keep moving, they're (relatively) safe.
This gives us with our adventure generator; the Time Lord brings everyone somewhere/when, stops to repair the rickety ol' TARDIS, admonishes everyone to stay out of trouble, then the PCs get into trouble until it's time to jump through time and space again.
FUN OPTION: While the Time Lord is initially an NPC, when they regenerate one of the players takes over the role with a new appearance, personality.
Thoughts? Declarations of interest?