What’s on TV Tuesday: ‘Woodstock’ and ‘The Mayor’

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An extended version of the classic 1970 documentary “Woodstock” unearths additional performances, and a charming ABC sitcom debuts.

What’s on TV

WOODSTOCK: 3 DAYS OF PEACE & MUSIC — THE DIRECTOR’S CUT 10 p.m. on AXS TV. Released a year after Jimi Hendrix unfurled his blaring “Star-Spangled Banner” on the teeming upstate New York farm grounds, this Michael Wadleigh-directed documentary would go onto receive acclaim approaching that of the festival itself. The film won the Oscar for best documentary feature and boasts a “100% Fresh” rating on Rotten Tomatoes. This 2014 version runs an astounding 225 minutes and includes performances cut from the original documentary, including Joan Baez’s “I Shall Be Released” and a seven-minute version of the Who’s “My Generation.” Need another reason to watch? The credits include a young Martin Scorsese — three years before “Mean Streets” — in an editing role.

FINDING YOUR ROOTS 8 p.m. on PBS. The connection between Larry David and Bernie Sanders — two balding Jewish curmudgeons — was solidified when Mr. David, the “Curb Your Enthusiasm” creator, played Senator Sanders to a T in several “Saturday Night Live” cameos. But could their similarities be biologically based? On this episode of “Finding Your Roots,” the Season 4 premiere, Henry Louis Gates Jr. unravels the history of these two men and looks for a common ancestor.

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THE MAYOR 9:30 p.m. on ABC. This network’s strong Tuesday sitcom lineup (“The Middle,” “Fresh Off the Boat” and “black-ish”) gets an addition. Brandon Micheal Hall, previously seen in a breakout role on “Search Party,” stars as an unsuccessful rapper who runs for mayor as a publicity stunt and ends up winning on the strength of sheer charisma and a discontented voting base. (Sound familiar?) The pilot, which also features a snippy Lea Michele and a smarmy David Spade, doesn’t waste any time on back stories or logistics and zips forward with positivity and rapid-fire punch lines. Daveed Diggs, the “Hamilton” alum and “black-ish” actor, wrote the raps.

QUEEN SUGAR 10 p.m. on OWN. The Bordelon siblings are back. Oprah Winfrey’s and Ava DuVernay’s steamy drama follows the disparate three siblings running a Louisiana sugar cane farm after their father’s death. “‘Queen Sugar’ is one of the sexiest shows in recent memory,” wrote Margaret Lyons in The New York Times. In the midseason premiere tonight, Darla shares her engagement news with her family, and Violet’s health worsens. (The second half of the premiere runs tomorrow at 10 p.m.)

What’s Streaming

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BEFORE MIDNIGHT (2013) on Netflix. In his “Before” trilogy, the director Richard Linklater traced the electric relationship of Celine (Julie Delpy) and Jesse (Ethan Hawke) through 18 years and three movies. The last one, “Before Midnight,” arrived on Netflix on Friday, and depicts Celine and Jesse on vacation in Greece, confronting middle age and complacency. “‘Before Midnight’ is a wonderful paradox: a movie passionately committed to the ideal of imperfection that is itself very close to perfect,” A. O. Scott wrote in The Times.

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