Waller-Bridge is up for a lead actress prize for Fleabag, while her Irish co-star Andrew Scott is also nominated.
Marriage Story, a Netflix production, is the most nominated film, having received six citations in all.
The Irishman, another Netflix film, and Quentin Tarantino's Once Upon a Time in Hollywood, have five nominations each.
The Crown, Chernobyl and US crime thriller Unbelievable lead the way on the TV side of things, having received four nominations apiece.
Marriage Story and Martin Scorsese's The Irishman are both up for best film drama, as are Joker, The Two Popes and Sam Mendes' World War I epic 1917.
Tarantino's film is up for best musical or comedy, alongside Nazi satire Jojo Rabbit, murder mystery Knives Out, Elton John biopic Rocketman and comic biopic Dolemite Is My Name.