From Wikipedia
(http://en.wikipedia.org/wiki/Climate_of_the_United_States):
"On average, the mountains of the western states receive the
highest levels of snowfall on Earth. The greatest annual snowfall
level is at Mount Rainier in Washington, at 692 inches (1,760 cm);
the record there was 1,122 inches (2,850 cm) in the winter of
1971-72. This record was broken by the Mt. Baker Ski Area in
northwestern Washington which reported 1,140 inches (2,900 cm) of
snowfall for the 1998-99 snowfall season."
Otherwise, as for actual cities, the top five for average annual
snowfall, according to the National Oceanic and Atmospheric
Administration (NOAA), are:
Marquette, Michigan
Sault Saint Marie, Michigan
Syracuse, New York
Caribou, Maine
Lander, Wyoming
Interestingly, Flagstaff, Arizona is #6.
Source:
http://lwf.ncdc.noaa.gov/oa/climate/online/ccd/snowfall.html