The 1000 Genomes paper has been published and has few surprises, given that the data that went into it has mostly been widely used for many years.
The one really striking point made by the paper, however, is that modern humans experienced the most intense bottleneck in the history of the species during the Last Glacial Maximum (LGM) and the several thousand years thereafter (i.e. 20,000 to 15,000 years before present). The effective population size of each of the non-African populations in the sample at that time depth was under 1,500. The bottleneck was less intense in Africa where the effective population size was somewhat in excess of 4,500 at the bottom (but still more intense than the bottleneck at any point our species history going all of the way back to Homo Erectus). Basically, our entire species rebooted at that point, while we were still all hunter-gatherers.
Effective population size is not strictly comparable to census population. There were probably more than 7,000 people alive outside of Africa even at the most dire moment of the LGM, and probably more than 10,000 people alive in Africa at that point. But, it is quite surprising that the bottleneck during the LGM was more severe, for example, than the bottleneck at the point of Out of Africa migration, or the Toba eruption that may have facilitated the passage of modern humans from South Asia to Southeast Asia and beyond by the Southern route.
The bottleneck around the time of the settling of the New World in the population ancestral to the first wave of Native American migration, of course, is well known. The number of people belonging to the founding population of the Americas at its lowest point may have numbered in the hundreds, or even less.
Likewise, it is widely known that Northern Europe and Northern Asia was entirely depopulated and covered with a glacier at that point in time with relict populations surviving only in three Southern European refugia (the Franco-Cantabrian refugia, one in Italy, and one in the mountains of far Southeast Europe).
But, the intensity of the bottleneck in Asia was a surprise to me. South Asia, Southeast Asia and East Asia were not rendered uninhabitable during the Last Glacial Maximum. They were not buried under a glacier. The weather in India wouldn't have been all that much worse than the weather in much of Africa. Yet, South Asians, Southeast Asian, and East Asians suffered a bottleneck just as severe.