Not often I do fic recs (probably what, once? twice in the history of this journal?), but, this one? Yeah.
Ghost in the Machine by Rain over on Teaspoon. It's a WIP, but it only has one chapter left to go, so it's almost over. ETA: It's done, and oh! It's a fantastic multi-era fic, with the summary from the first chapter going: "Rose is lost in time. Cue a rollercoaster ride of comedy, tragedy, misunderstandings, miracles and faces from the past." Wonderfully written.
I think I really just really love multi-era fics, even with my limited knowledge of past Doctors. And this one? Hit it right there.