On page 302 of the Bestiary 1, there is a table showing the damage that natural attacks would deal, based on size. This is very useful for determining what damage dice to move up to in the event that a creatures size increases, or if someone casts a strongjaw spell (APG 247) on a creature.
Is this intended as a maximum cap on creature damage? A quick flick through the APG would seem to indicate that there are many creatures that go beyond this table, so the answer is apparently no. So what is the next step? Based upon the progression, I suspect that the next 4 damage sets should either be 4d8, 6d6, 6d8, 8d6... or 4d8, 8d6, 8d8, 16d6. I prefer the first, I think. However, a former Wizards employee has told me that the old rule was that if you would go above 4 dice, you simply move the dice category up one step instead, giving a 3rd option - 4d8, 4d10, 4d12, 4d20.
Which do you think is most likely?
I ask because by using the druids wild shape ability, combined with animal growth and the strong jaw spell, it is entirely possible to get to that 4d20 mark. The Hippopotamus, Behemoth, is listed as a huge animal. By wildshaping into the giant hippo, then casting animal growth and strong jaw, you get a ridiculous 4d20+grab attack. A Megafauna, Arsinoitherium, can even go beyond this if you wildshape into a huge version initially (the ruling on this is something that has previously been discussed on these forums with no official answer beyond 'check with your DM'). How much damage would this do?!?