Official website of the World Meteorological Organisation www.worldweather.org (part of and funded by the United Nations).
The landing page is a world map – click on the dot nearest to your trip destination and get the local weather forecasts and climate statistics. 1,356 main cities listed in 164 countries. 8 language options.
Should cover most people's needs for business and holidays. Can't sleep before you know the actual or average temperature, rainfall and wind speed in Kabul, Vientiane or Ulaanbaatar? This is the site you need.