Colonel Krukov said:
I said almost everything, not everything, it's different, and I already mentioned why I think so, in my first comment: "hey both have Time Manipulation, so, they counter each other on that, same thing with Gravity Manipulation, and the bus has a greater durability"
Adding in, the TARDIS apparently can't use Higher-Dimensional Manipulation here (For some reason), Pocket Reality Manipulation wouldn't really help here, since it only makes it bigger on the inside, as well as Illusion Creation, since the chameleon circuit only makes it look like a police box, as far as I'm aware.
The TARDIS still has forcefields, which could help, but the Bus is already more durable to begin with, so, it wouldn't really give the TARDIS an advantage, the only things that would really work are Invisibility, Telepathy and Biological Manipulation
But the Bus also has Reality Warping, Shapeshifting, Size-Shifting and Magic Manipulation, that's why I think that the Bus could end up winning this going by their profiles, even though I'm not very familiar with the Bus.