A map of the major lunar impact basins on the nearside (left) and farside (right).
According to Fassett et al. (JGR, in press as of September 2013), here is the order in which the mapped basins formed, from oldest to youngest, according to crater counting. Where basins clearly superpose each other, that's noted. Basins are in caps where they are in caps on the map above, to help locate them.