Offline I read the Guardian Weekly with separate sections devoted to articles from the Washington Post and Le Monde.
Australian sources are The Bulletin and The Sydney Morning Herald.
Occasionally I like to get the International Herald Tribune (especially when travelling).
Online I take the light irreverance of
www.salon.com and balance it with the stodgy earnestness of
www.foreignaffairs.org.
I don't bother much with broadcast news anymore, I might switch on the BBC if I'm doing the ironing.