The FX drama was nominated for 'Programme of the Year', 'Outstanding Achievement in Drama' and 'New Programme', while star Matthew Rhys picked up a nod for 'Individual Achievement in Drama'.
> Television Critics Association Awards 2013: Nominees in full
Breaking Bad picked up three nominations - including one for star Bryan Cranston - while Game of Thrones, Orphan Black, Parks and Recreation and New Girl each won two.
ABC Family shows Bunheads and Switched at Birth were nominated in the 'Outstanding Achievement in Youth Programming' category, while the reality shortlist will see The Amazing Race and The Glee Project go up against Shark Tank, Survivor and The Voice.
Elsewhere, the 'Heritage Award' will be presented to either All In The Family, Lost, Saturday Night Live, Star Trek or Twin Peaks, and the 'Career Achievement Award' will be fought for amongst James L Brooks, James Burrows, Jay Leno, William Shatner and Barbara Walters.
The TCA Awards will be held on August 3 in Beverly Hills.