Answer: theonion

AnswerCrossword Clue
THEONION

Satirical publication that claims to be "America's Finest News Source"

THEONION

Paper that calls itself "America's Finest News Source"

THEONION

Its news network won a 2008 Peabody Award

THEONION
It has unbelievable news
THEONION
Publication with a 1997 headline "Drug Use Down Among Uncool Kids"
THEONIONSatirical weekly newspaper