1. Global
Global temperature and precipitation extremes map and table shows the diverse nature of our planet’s weather and climate.
http://iri.columbia.edu/climate/cid/Jul2002/special.htm#temp

(source: NCDC, NOAA)
Extreme Lowest Temperatures by Region

(source: NCDC, NOAA)
Click on the map below to see monthly average temperatures in animation.
(Source: IRI, Columbia University)
2. North America
Winter storms affect all 50 of the states, although northern states and high elevation locations tend to have longer cold seasons. The map below summarizes the geography of winter storms in the United States.

(Source: NWS, NOAA)
Extreme cold causes great hardship on all life and some property. Unusual dips in temperatures impact society more than normal cold. Below are record cold temperatures for the 50 states.

(Source: NCDC, NOAA)
U.S. Winter Weather Warnings. This site provides real-time warnings on current winter weather hazards.
http://iwin.nws.noaa.gov/iwin/us/winterstorm.html
Canadian Severe Winter Weather Events (list):
http://www.mb.ec.gc.ca/air/wintersevere/events.en.html