I haven't seen much ram spam (whether log or battering) in a while? Actually, I only remember seeing very few battering rams lately, especially compared to the old spam. (But I think I recall some kind of artificial limits were placed on them somehow? Not a national limit but something else.) I play SVN though; obviously, the old problems would still exist if the original poster is playing v36.
What I do actually see is lots of tamed animals. Especially breeding wolves, presumably because of their 7 strength, even if they can only defend. That said, in my current game I actually lost a few workers to things like tamed lions and buffalo - units the AI probably shouldn't be using as military units. Clearly, if the AI is deciding to build them and use them for more than the buildings they create, they meet some kind of criteria for that purpose (cost vs strength vs perhaps movement?), but one would think that in any situation in which a tamed animal is a viable military force, a wardog or calvary would be a better choice. If this is an "issue" (I consider it to be one insofar as a human player probably wouldn't use them for a military purpose, even to destroy workers, but not a priority by any means), perhaps they could just be all brought down to 1 strength?
I should mention, though, that I currently play games with only the science victory enabled, which probably has an effect on what the AI builds, even when I am actively at war with one. This could explain why I see very few rams - that is, if the AI isn't trying for conquest, it may not build up to capture cities, even when it declares war as a result of diplomatic modifiers (close, threatened, religion).