The Rani's TARDIS



The Rani's TARDIS was a comparatively advanced TARDIS (when compared with the Doctor's model. It had a functional chameleon circuit.

History
The Rani could control her TARDIS via a Stattenheim remote control that she wore on her wrist. (DW: The Mark of the Rani)

When she visited the town of Killingworth, the Rani had put tyrannosaurus rex embryos in her console room as she had some experiments ongoing with her. The Doctor sabotaged her ship, making it impossible to control after she dematerialised. The sabotage also caused time spillage which caused the embryos to grow and mature. The Rani and her (at this point only marginal) ally the Master found themselves in a TARDIS spilling out of control. (DW: The Mark of the Rani)

She recovered from this, however. On the planet Lakertya, her TARDIS was in the form of a pyramid. (DW: Time and the Rani)

Possibly canonical information
Later, the Rani's TARDIS was the same as the Doctor's but in black instead of white. (DW: Dimensions in Time)