Since 0.31.06 changed some relevant creature raw values, I decided to take another look at creature-on-creature bitin'-and-fightin' combat.
Results: Better than before, but still not exceptional.
Cat vs. Cat
The cats scratched at each other a hell of a lot, sometimes not (but usually) penetrating the skin, and never penetrating more. Not too terrible. However, their bites didn't seem to do much of anything at all, except for when one decided to shake the other around. Bites always seemed to only dent the skin or glance away, even against small parts.
Cat vs. Dwarf
It crashed when I tried to spawn the dwarf.
Cat vs. Dwarf (Take Two)
The cat got in mostly-unsuccessful scratching and biting attacks (biting attacks did not penetrate, scratches rarely broke skin), while the dwarf punched the cat a lot (as well as pointless grab-limb-and-release wrestling), bruising muscle and fat and organs, but never causing much damage due to the issues with cumulative injury I've pointed out before. After quite a long time, the dwarf won, because he went Blend-Tec on the cat's eyes, gouging them out a few dozen times. The cat bled out eventually (the bruised heart might not have helped).
Alligator vs. Alligator
Bites penetrate now, but still only rarely penetrate past the scale. The "shake around" move is still devastating and deadly, of course, although it's unclear what the effects are, exactly. There's not much more to say here.
Alligator vs. Cat
Cat scratches somehow manage to tear alligator scale. Also, despite alligator bites penetrating alligator scale, they cannot seem to penetrate cat skin at all. Latching on and shaking around dispatched the cat quite quickly, though.
Alligator vs. Dwarf
Alligator bites tear the skin, and dwarf punches glance away. The alligator then shook around and tore off the dwarf's lower body. Pretty typical of a real alligator, I guess, aside from the bites not penetrating more.
Alligator vs. Dwarf in Pigtail Clothing (trousers, shirt, cap, gloves, boots, coat)
The alligator knocks the dwarf around like crazy with his biting maneuvers, but never manages to tear skin except for once on the head (presumably because the cap doesn't provide full coverage). All other attacks are deflected by the clothing, probably because alligator teeth don't punch through deeply enough. Eventually the alligator wins, by getting in a lucky shot to the head again and tearing it off by shaking it around.
Elephant vs. Donkey
Elephant kicks knock the donkey around decently, but still don't do very much damage. You'd think they would break bone or something, but they're just bruising fat and occasionally muscle. Incidentally, the donkey's kicks are doing roughly the same thing to the elephant. One donkey kick managed to tear apart the cartilage in the elephant's trunk, which is pretty weird. They bruised each other's guts a bit as well. Also, the elephant grabbed the donkey's lower body with his left rear leg and threw the donkey about five squares. So far, the elephant is the only animal I've seen doing throwing moves, and it did them several times here. The donkey managed to heal completely during the course of the battle, due to minor bruising being the only injuries he had, and seems to have the upper hand in general.
I went downstairs to do some laundry, thinking it was a stalemate. When I got back, I noticed that the elephant had placed a stranglehold on the donkey's throat using its leg, and eventually suffocated the thing. Well, I guess the elephant won.
I also noticed that approximately twenty-nine cats (see below) assaulted the elephant from elsewhere. The elephant was too over-exerted at this point, only getting in a single attack (kicking a cat's head in, shattering the skull but not killing it) before passing out. It seems like nobody's winning, though, since even when the cats shake the elephant around it doesn't do any mortal damage (or significant enough bleeding, it seems). His eyes are torn open, ears and trunk broken and torn apart, and in general he isn't having too much fun. Semper fidelis, mighty elephant.
Dwarf vs. Twenty-Nine Cats
What you'd expect from above tests. The dwarf eventually passes out from exhaustion while cats claw at him, often tearing the skin. Apparently, when given adequate opportunity, cats can shake dwarves around. This eventually caused the dwarf to bleed to death.
Anything vs. Magma
Still just as absurd. Interestingly, while live alligators will catch fire, dead ones will not. Their corpses instead rot faster (although this might have just been a coincidence) and take damage, the blood also boiling off, but only after quite a while. This dead alligator is now an "XXAlligator CorpseXX" but not on fire yet. A few turns later, it disappeared entirely, presumably due to the massive damage.
Me vs. This Data
It seems that natural attacks still don't penetrate enough. This would make sense if you consider it as a simple matter of "How long are these teeth?" vs. "How thick is this tissue?" but it's not that simple in reality. In reality, pushing down like that on tissue causes it to spread apart, compress, dent, and so forth. Even without considering that (although it should be considered!), things should penetrate deeper. This goes hand-in-hand (sorta?) with the penetration issues with things like blowguns and (to a lesser degree) bolts/arrows. After all, the fact that clothing and tissues can never really be torn through is causing issues here, providing near-perfect protection against bite wounds, even without any armor whatsoever.
For that matter, why does scale (at least on alligators) less effective than cat/dwarf skin? You'd think the opposite would be true. I'm not sure what's going on there.
Issues with damage not being terribly cumulative are still paramount here in damn near all the tests, but I've talked about that enough before (I tend to repeat myself enough already).
Elephant kicks not doing much is quite odd. It seems to me that creature size in general isn't doing enough, actually. A more massive creature should put more weight into a striking/wrestling move. They should also successfully absorb more force from strikes, which the elephant didn't seem to be doing very well, if at all.
I don't even have a clue what's up with the elephant wrestling the donkey, as amusing as it was. I thought wrestling for animals was disabled, but maybe I was wrong? However, I saw no other animals doing it at all. Wacky!
Magma/heat damage is still wacky, and I have some pretty serious issues, medically-speaking, with some of the raw values for animal tissue, but that'll have to wait until I talk to Djohaal/Kefka on IRC about them more (he's a med student) so I can compile a nice, well-reasoned list.
[Edit]
I almost forgot this:
Cows vs. Dogs vs. Butchery
For some reason, cows produce less fat than dogs, and slightly less meat as well. I have no freaking clue why. This perplexes me.
[Edit (again)]
From the raws, it seems like the hair template has better shear strength than skin does. Did Toady mess up and use the values for pure keratin? Is a layer of hair causing cats and other furry critters to be protected too much? Is the hair treated as a solid layer of the material instead of a stringy, fuzzy mess? I sure as hell don't know!