Now that these are available, I've read through them and specifically looked at any mentions of all-cause mortality; while most of the all-cause figures are not statistically-significant, in every case the point-value seems to be consistently lower (ie. the baby aspirin was helpful). I didn't find any all-cause numbers cited in which the aspirin group died more.
I was critical in the earlier discussion because we weren't seeing the all-cause numbers and there are excellent reasons to be wary of medical results, but personally I find all-cause mortality to be a very persuasive metric, and in the absence of any contraindications for myself or finding that the all-cause numbers have been fudged, I think I'll start low-dose/baby aspirin. My main worry is that most of these studies only deal with older people and the benefits might be negative in younger people, but it also looks like the effect is cumulative so one might want to start early. (The medical aspects are my only concern - money-wise, it might as well be free; for example, here on Amazon is 730 tablets or 2 years' worth for $8.)
A large recent trial appears to show that low-dose aspirin isn't helpful, and may be harmful, for healthy older people.
(For Round 1, see this comment from last year.)
NYT: Studies Link Daily Doses of Aspirin to Reduced Risk of Cancer
The article is worth reading in its entirety, but here's an especially interesting paragraph:
The evidence still isn't perfect, but the purpose of rationality is making good decisions with limited information. I am a healthy 28-year-old and these studies make me even more confident that taking daily low-dose aspirin is the right thing for me to do.
On a related note, if society were more rational, I wouldn't have to be sad reading paragraphs like this one:
Or these ones from A Cheap Drug Is Found to Save Bleeding Victims, published on the same day: