1. “Sinatra: All or Nothing at All”
Sunday and Monday, 8 p.m., HBO
They could have subtitled this documentary “Broads, Booze and Ballads.” That about sums up the story of Francis Albert Sinatra, who left high school at 16 to pursue his passion for music and singing.
He sang with the big bands. He found a teacher who taught him the phrasing that enabled him to turn so many songs into classics. He conquered Hollywood, winning an Oscar for “From Here to Eternity.” And then, in his greatest act of chutzpah, he ingratiated himself with the JFK campaign, using his influence with mobster Sam Giancana to get out the union vote in West Virginia and Illinois.
Along the way, there were too many marriages — four — and some scary outfits. True Frank fans will rejoice, but the guy was kind of a punk, when you think about it.
2. “American Crime”
Thursday, 10 p.m., ABC
3. “Mad Men”
Sunday, 9 p.m., AMC
The final seven episodes of this landmark television show about the perpetually drunk and self-destructive glamourpuss Don Draper (Jon Hamm) start tonight. The theme of this episode is the life not lived.
A couple of the series’ original characters confront this issue in unexpected ways. With two failed marriages behind him and more floozies than you can shake a stick at ready to spend the night, Don does some serious soul-searching after he receives some deeply upsetting news.
Peggy (Elisabeth Moss) reluctantly agrees to let a subordinate set her up on a date — but learns to believe in love again. And Roger (John Slattery) grows sideburns and a mustache.
4. “A.D.: The Bible Continues”
Sunday, 9 p.m., NBC
Mark Burnett and Roma Downey hit the motherlode with their 2013 miniseries “The Bible.” Since its first broadcast, the show has been seen by more than 100 million viewers.
While networks were trying to impress the critics, Burnett and Downey found an underserved audience and catered to it, hammering home their ideology through dramatized stories from the Good Book. “A.D.” will run for 12 episodes.
First up: The Romans nail Jesus (Juan Pablo Di Pace) to a cross. Scripts for Season 2 are already under way.
5. “American Odyssey”
Sunday, 10 p.m., NBC
In North Africa, Sgt. Odelle Ballard (Anna Friel) stumbles upon computer files that show a major US corporation is funding terrorists. She downloads the files, but her unit is attacked. While the world is told her entire team was wiped out by enemy militants, Odelle, the sole survivor, knows the truth: They were attacked by American military contractors.
Meanwhile, journalist Harrison Walters (Jake Robinson) suspects a government cover-up when he meets a hacker (Nate Mooney) with proof. Co-starring Peter Facinelli as corporate litigator Peter Decker.
6. “Wolf Hall”
Sunday, 10 p.m., PBS
Author Hilary Mantel won two Booker prizes for her novels about the court of Henry VIII, “Wolf Hall” and “Bringing Up the Bodies.” The first is now a miniseries starring Damian Lewis as the King and Mark Rylance as his adviser Thomas Cromwell, who rises from blacksmith’s son to Tudor court puppeteer. Cromwell had a talent for insinuation, manipulation and execution — just ask Anne Boleyn (Claire Fox).
In Episode 1, Henry, desperate for an annulment from Katherine of Aragon, strips the Catholic Cardinal Wolsey of his powers. Wolsey turns to Cromwell for help. Series premiere.
7. “Nashville”
Wednesday, 10 p.m., ABC
8. “The Comedians”
Thursday, 10 p.m., FX
Billy Crystal must need the money. He’s back on TV as a comedian set to star in a sketch series but who finds that the network suits want to pair him with someone younger. Enter Josh Gad, the misshapen comic from the failed NBC series “1600 Penn.” He’s certainly someone who can use a hit, or even a paycheck.
The two meet at the Beverly Hills restaurant the Grille to see if they hit it off. They don’t. Crystal doesn’t think Gad is very funny (he’s not wrong) and Gad doesn’t understand why a legend like Billy doesn’t double over after hearing one of his penis jokes.
But they find a way to put on a happy face for the sake of showbiz. Will viewers reward their strenuous efforts with a smile? Series premiere.