I find myself grinning like an idiot watching some of the gameplay posted upon various video streaming services, particularly when seeing Batman included. Why? Well it makes Joh Pertwee's snarky rebuttal oddly prophetic. "Well, what did you expect? A rocketship with Batman at the controls?" (Uh, which serial was that, anyway?)
I'll have to provide the link after I've returned home (YouTube is blocked here at the office), but someone staged a sequence having the Doctor cycle through all of his (known) regenerations and briefly entering the TARDIS for each incarnation. I read they Lego planned to do it, but I still found my jaw dropping when seeing Hartnell's interior complete with teh "fault locator" bank at the far end of the room (done in grayscale, no less). The biggest surprise was Tom's console room. I suspect the majority would have expected the room from "The Invisible Enemy" or the wooden paneled interior from "Masque of Mandragora". Oddly enough, they opted for the room as seen in "Pyramids of Mars" which had that distinctive interior alcove. But incase you're wondering, yes, they depicted McGann's "steampunk" console and even the War Doctor's interior (mixing Eccleston's console with the Hartnell "roundels".
In another video, we see Skaro with buildings vaguely resembling the latest concept from "the Witch's Familiar", complete with Davros...voiced by Julian Bleach! Not just voice samples lifted from the series, but "cut scenes" with original dialog! Other clips I've seen depict a snowbound landscape with a Troughton era Cyberman tomb! Honest! I've seen London depicted as three eras, the present, a Dalek controlled future as in "The Dalek Invasion of Earth" and Victorian era London. A VERY notable location, 76 Totters Lane, appears in both the "present" and the "future". It may exist in Victorian times, but the clip I saw didn't explore that spot. What was seen were the theatre posters from "The Talons of Wang Chiang". Capaldi even mentions them! Oh, BTW, Lady Vastra appeared in the snowscape setting and was none too thrilled about the thermal conditions. She may have been voiced by the original actress but I'm not sure.
The point being, the game developers made a LOT effort to to include all sorts of trivia from the "mythos".
Sincerely,
Bill