Andrew Cuomo of New York is, of course, the son of former Governor Mario Cuomo.
Gary King of New Mexico is the son of former three-term Governor Bruce King. (His opponent's father-in-law was also a former governor.)
Next door in Arizona, Terry Goddard won reelection. His father Samuel Jr. was governor for a couple of years during the 1960s.
And then there's Jerry Brown, who has the distinction of being both the son of Pat Brown, another 1960s governor, and a former governor himself.