I think you just plot-bunnied half of your readers with that "James T. Kirk as companion to the Thirteenth Doctor" bit, especially since my fantasy-cast for the N+1 Doctor right now is Rachel Weisz.
Also, there is a Merlin Regency AU! Days of old and days to be is its name, and it is made entirely of awesomeness. Arthur is a rich prat! Merlin is his valet! Lancelot is the noble commoner ascending through service in the light dragoons! It is basically just like canon, only everyone actually listens to Morgana when she tells them they're all going to die, so it's even more awesome.
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Also, there is a Merlin Regency AU! Days of old and days to be is its name, and it is made entirely of awesomeness. Arthur is a rich prat! Merlin is his valet! Lancelot is the noble commoner ascending through service in the light dragoons! It is basically just like canon, only everyone actually listens to Morgana when she tells them they're all going to die, so it's even more awesome.