I remember when we were going for the record in 1995-96, Newsday put an article up about comparing it to the best winters at Upton and that was the winter 1995-96 was shooting for (and blew away by more than 15 inches thanks to that snowstorm in April.)
The things that make 1966-67 really stand out is it came at the end of a historically dry period and after our hottest summer on record to that point, the previous winter was an el nino that heavily favored areas south of us, and the winter got started off right with one of our snowiest Christmas eve storms on record. The period from February through March was also historically snowy (30+ inches in each month at Upton) and featured Long Island's latest below 0 reading (close to the vernal equinox.)
There were no HECS blockbuster snowstorms that winter but we did get over a foot of snow in an event in February and an event in March.