Compassio
Firstly, she should be called Compassion V. Laura Tobin, who would come to be known as Compassion, was cloned from a Remembrance Tank four times, the last of whom became the Type 102 Timeship seen in the profile.
Secondly, her justification is largely inaccurate. Compassion is definitely the strongest timeship during the War, but that doesn't automatically make her 11-D in all stats, especially since she can be damaged by War TARDISes. Also, she didn't lodge herself between the universe and after-universe, she used a massive transmat that she didn't create.
Vaporizes slightly weakened War TARDISes
- 'War TARDIS?' said Fitz faintly. [...] 'Doctor, how can that thing be any kind of TARDIS? It's huge. It looks as big as Mars.' The Doctor shook his head at Fitz. "That TARDIS is mapping its internal dimensions on to its external dimensions, so it looks a great deal bigger than it actually is in realÔÇÉspace. It's a flabby gesture of intimidation designed to frighten primitive opponents.' [...]. 'But it does somewhat weaken their defences,' noted the Doctor. 'Makes them vulnerable to weapons attack. Not that that is going to help us, I'm afraid. Which they will have calculated, of course. They know me too well.'
- 'Fire,' said Compassion, as calmly as she might say 'hello' to someone. [...] A wave of savage red light filled the entire scanner around them. Fitz panicked for a moment, believing the war TARDIS had struck home. But within seconds the searing red light had coalesced into a bloodÔÇÉred ball of fire which rapidly shot off into the stars. As the missile raced away, the deep note of the TARDIS sank back to normal. 'Doctor,' said the warÔÇÉTARDIS commander, 'you cannot ... Rungar protect us! We're under atta—' The horrified voice stopped abruptly. In the distance, one of the huge orangeÔÇÉred shapes convulsed, twisted in on itself, and then sparked into a starry spike of brilliant light. 'Target eliminated,' said Compassion.
- Another blaze of red light hurtled towards the remaining war TARDISes. Within seconds another was vaporised. One of the planetÔÇÉsized war TARDISes must have realised what was happening, and snapped itself shut again like an umbrella so that it was just a point of orange light. It started to race towards the TARDIS.
Can be incapacitated and forced out of the Time Vortex by War TARDISes
- The Doctor snapped his gaze to Fitz briefly, and launched into one of his tooÔÇÉfamiliar monologue lectures. 'We've been forced out of the time vortex by those broadÔÇÉspectrum TucksonÔÇÉJacker pulses —'
- 'Madness or not, that war TARDIS is not just casting a drift net into the time vortex, now: they've got us on the end of their line and they're reeling us in. If they do hit us with one of those focused strikes of TucksonÔÇÉJacker energy it will incapacitate Compassion and me ― but you, Fitz ... you'd be very lucky to survive.'
- 'Prepare for a disabling strike,' cut in the warÔÇÉTARDIS commander's calm, insistent tones.
Moves far faster than highly-advanced TARDISes
- He reached for the power-boost control that Compassion had kept from his grasp until she'd been sure of him, until she'd reminded him of his responsibilities. 'Madam President...' he said. 'You can kiss my TARDIS!' And he pressed the button. Compassion opened her arms wide to embrace all time and space. She blurred into motion, accelerating faster than the pursuing Gallifreyan capsules could follow. And then, with a trailing echo that sounded like laughter, she was gone into the depths of the vortex.
Unlike most TARDISes, Compassion doesn't have her own Eye of Harmony and relies on pilots or biodata to sustain herself
- 'Telepathic circuits,' Compassion cooed. 'I want you to feel at home. I need someone who can ... sustain me. Someone who understands the way I function. Since the Eye of Harmony's been poked out, I'm not sure how smoothly I'll be running in the future. And I intend it to be a long, long future, Nivet. I'll need you. And you'll need me.'
Kronos
I believe that Kronos could be 11-D. This doesn't scale to any of the other Chronovores.
During the Time Monster, Kronos was able to stop a time-ram, which occurs in all 11 dimensions. NOTE: The Doctor says Chronovores, but he's just referring to Kronos
- Time ram: one TARDIS materialising at the same point in space and time as another, where two TARDISes matched temporal frequencies and materialised at exactly the same point in each and every one of the eleven dimensions of space and time, every particle of one TARDIS coinciding with every particle of the other. Cosmic blasphemy. Such a move had an inevitable consequence: the complete and utter destruction of both TARDISes. The outer plasmic shells ruptured, the conditional pathways were aborted, the relative dimensions evaporated.
- Only two Time Lords had ever survived a time ram: the Doctor and the Master. The same time ram. But that time we had the help of the Chronovores. This time, I'm on my own.
- DOCTOR: Where exactly are we?
KRONOS: On the boundary of your reality and mine. You brought yourselves here.
DOCTOR: Yes, the time ram.
KRONOS: At the moment of impact, I was released. That saved you and took you to the threshold of being.
Kronos is able to emulate the entire Chronovore Host on his ow
- As the first wave of the Divine Host descended with the beat of a million wings, he fired the artron cannon.
- The Doctor nodded gravely. 'By the look of it, it's the Divine Host ― the Chronovore equivalent of shock troops.
- The reaction was immediate. A few Chronovores effectively evaporated under the onslaught, their polydimensional matrices shattering under the impact; many more were caught in the edges of the blast and left injured or dying, their once perfect bodies deformed and broken. But the remainder saw the folly of remaining: with the last vestiges of their dignity wrapped round them like their wings, they they took to the time vortex as a single body, a razor-tipped cloud of ivory-and-gold hatred vanishing into another realm.
- 'What?' The Doctor stopped what he was doing and slowly turned to look at Kronos. 'All this destruction, this carnage, this damage to the space-time continuum, and it isn't how you predicted it? What did you predict, Kronos?' 'It was not the Chronovores who appeared to the Master in his TARDIS, it was I. I led him to think that the Chronovores desired revenge for his dominion over me.'
Standard Chronovores are 6-D, for reference
- The Doctor waved a multicoloured sleeve at the TITAN Array. 'And why not? I thought you were a genius? In their natural form the Chronovores exist as six dimensional polymorphic lattices of photinos and chronons, bound by superstrings.'
War TARDISes
I think the page is a bit too broken to fix and should be deleted.
First off, it's missing a lot of content. I'll spare everyone of all the details, but there's many basic powers and abilities for TARDISes missing, such as the ones seen
here, and stuff like Mind Manipulation for changing its pilots' personalities, fighting Great Vampires capable of destroying Dalek Saucers, and weaker models with standing attacks from the aforementioned Dalek Saucers. Almost all of the unique weapons, powers and abilities can be seen in
The Master's TARDIS.
Secondly, I got most of the information from The Doctor Who Technical Index, so a lot of it is innaccurate. For example, War TARDISes aren't actually shown to have Temporal Torpedoes or Extrapolator Shields that can survive existence erasing Dalek weapons. Also, The Master's War TARDIS doesn't scale to regular War TARDISes, meaning they can't beat the Quantum Archangel and aren't comparable.
I'm currently making a far more accurate and better sourced Battle TARDIS page, by the way.