Here are all the awards for FNL (well including nominations where they didn't win) since you mentioned it
2006
American Cinema Editors - Best Editing on a One Hour Series for Commercial Television - for the episode "Pilot" [58] (WIN)
American Film Institute - 10 Best TV Programs of 2006 [59]
2007
Television Critics Association Award - Individual Achievement In Drama – Kyle Chandler
Television Critics Association Award - Individual Achievement In Drama – Connie Britton
Television Critics Association Award - Outstanding Achievement In Drama
Television Critics Association Award - Outstanding New Program of The Year (WIN)
Television Critics Association Award - Program Of The Year [60]
Writers Guild of America - Best New Series [61]
George Foster Peabody Award - Award for Broadcast Excellence [62]
Emmy Award - Outstanding Directing For A Drama Series - Peter Berg for the episode "Pilot" [63]
Emmy Award - Outstanding Casting For A Drama Series - Imagine Television, Film 44, NBC Universal Television Studio (WIN) [64]
American Film Institute - 10 Best TV Programs of 2007
2008
People's Choice Awards - Favorite Song from a Soundtrack - "Read My Mind," The Killers
Writers Guild of America - Best Dramatic Series