The Cyberian Express

 
Federal Emergency Management Agency
The federal agency in charge of cleanup after any natural disaster.
Gazetteer
It's not about weather but it does have tons of good information on places hit by weather. Just type in a city name or zip code and get census bureau data on the location.
Hurricane Center
The place to go when a hurricane is headed toward your beach house.
National Center for Atmospheric Research
Works with UCAR on research on the atmosphere and atmospheric disturbances. Lots of links to research papers.
National Oceanic and Atmospheric Administration
If it deals with oceans or weather or fisheries, it's here.
Extreme Weather Sourcebook
Economic and Other Societal Impacts Related to Hurricanes, Floods,Tornadoes, Lightning, and Other U.S. Weather Phenomena
NOAA's Storm Prediction Center
This severe weather center can tell you what areas are under storm alerts and provide you with cool weather pictures.
UCAR
A consortium of 63 research universities that research the atmosphere.
Weather Service
The National Weather Service home page has lots more than weather forecasts for your city.