http://www.suny.edu/media/suny/content-assets/images/map/sunymap-all.jpg
This above map link is a little busy because it also includes all of NY community colleges as well, but I’ll give NY credit for spreading its 20+ four year and graduate schools very well around the state. NY may not have the singular flagship that draws tons of OOS, or the big sports school with name recognition, but it serves the NY population well with a variety of schools with different areas of excellence, different parts of the state, and especially different levels of selectivity.
Stony Brook and Binghamton lead the way with the highest top 25% SAT. Third in the list is not Buffalo or Albany, but Geneseo, a highly-prized LAC-like SUNY nearly an hour away from any major city.
NY is a big state with many high-stats students in the northeast where there’s lots of other public and private options, so even if they managed to turn Buffalo into UMich tomorrow, NY would be a net exporter.