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MUSIC GIFT GUIDE

Live performances and more on DVD

New DVDs feature performers such as Frank Sinatra.

By James Reed and Sarah Rodman Globe Staff 

Baby, it’s cold outside . . . what better time to stuff the stocking of that special someone with a music-related treat to curl up with and enjoy. If you have a rock, pop, country, hip-hop, or jazz fan on your list, one of these books, box sets, DVDs, reissues, or holiday albums will become a part of the soundtrack for his or her 2016 — and, by extension, yours as well.

Our pick

Stefania D’Alessandro/Getty Images

Katy Perry, “The Prismatic World Tour Live”

Katy Perry translates supremely well to the screen. We already know this from her music videos, her halftime performance at the Super Bowl in February, and from “Part of Me,” the 2012 documentary about her rise to multiplatinum stardom and her close relationship with her fans.

Chronicling the pop singer’s 2014 tour, which stopped at TD Garden for two sold-out nights in August, “The Prismatic World Tour Live” is the latest visual testament to Perry’s candy-colored appeal. It was a nearly two-hour spectacle of outlandish costumes, high-flying acrobatics, cat videos, and enough Top 40 hits — “I Kissed a Girl,” “Teenage Dream,” “Roar” — to keep Perry in heavy radio rotation for the past few years.

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A behind-the-scenes bonus feature follows Perry in rehearsals and profiles the technicians who take care of her wardrobe, wigs, and the mechanics of her behemoth production. There’s also a time-lapse video of the stage being assembled and interviews with the tour crew.

Her interactions with her fans, dubbed KatyCats, partly explain why Perry hits such a nerve. At one point she invites onstage a young woman dressed in her most Katy Perry-appropriate outfit. “You weren’t quite sure that 15,000-plus people were going to see you in this pizza bathing suit, were you?” she asks the giggling fan. Then they take a selfie together, but on one condition. Perry asks, “You solemnly swear that you will put a fantastic filter on this, right?”

More DVDs

The Beatles, “1+” The lads from Liverpool update their previously released “1” collection with this new DVD/CD set. Available in several configurations, the compilation gathers all of the promotional videos for the Fab Four’s 27 No. 1 hits, painstakingly restored and many available for the first time, with an accompanying book of annotations. (Sarah Rodman)

Kurt Cobain, “Montage of Heck” In the first authorized documentary about the late Nirvana frontman’s life, director Brett Morgen gets up close and personal through Cobain’s private collection of music, artwork, writings, and movies, along with interviews with his family and friends. After a limited theatrical release and an HBO broadcast, the film is now available on DVD and Blu-Ray. (James Reed)

5 Seconds of Summer, “How Did We End Up Here? Live at Wembley Arena” Parents, take heart: Now you, too, can experience the teen screams and pandemonium of a 5 Seconds of Summer show without ever leaving home. Recorded in London, the concert film documents the rise of the Australian boy band and tacks on a handful of official music videos. (J.R.)

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Green Day, “Heart Like a Hand Grenade” This film, directed by John Roecker, documents the conception and recording of the freshly inducted Rock and Roll Hall of Famers’ Grammy-winning 2004 watershed album, “American Idiot,” later transformed into a hit Broadway musical. (S.R.)

Lenny Kravitz, “Just Let Go Lenny Kravitz Live” While Kravitz’s tour for his most recent album, “Strut,” might be better-remembered for a revealing wardrobe malfunction, this 12-song tour document culled from three months of shows puts the focus back on hits like “Always on the Run” and “Let Love Rule,” as well as rehearsal and behind-the-scenes footage. (S.R.)

The Rolling Stones, “From the Vault: Live at the Tokyo Dome 1990”/“Live in Leeds 1982” The latest releases in the Stones’ archival concert series, these two CD/DVDs combos capture the band on two separate tours. But while the set lists are different, little has changed in the way Mick and company perform as if every show might be their last. (J.R.)

Rush, “R40 Live” The beloved Canadian power trio brought a few cameras on its recent 40th-anniversary tour — 14, to be exact — to capture the career-spanning, reverse-chronological set. This document, which comes as a standalone DVD/Blu-Ray or as part of a larger set with 3 CDs, tries to get closer to the heart of the artistry of Geddy Lee, Neil Peart, and Alex Lifeson. (S.R.)

Frank Sinatra, “Sinatra: All or Nothing at All” Seventeen years after his death, the Chairman of the Board is still being dissected in pop culture. Along with James Kaplan’s new book, “The Chairman,” this acclaimed two-part HBO documentary takes a deep look at Sinatra’s career, fame, and personal struggles. It’s told mostly in his own words through archival interviews, along with commentary from his family. (J.R.)

Various artists, “Salad Days: A Decade of Punk in Washington, D.C. (1980-1990)” The DIY D.C. punk scene — boiling over with bands like Bad Brains, Minor Threat, Fugazi, and Scream (featuring future Foo Fighter Dave Grohl) — is fertile ground for director Scott Crawford, a music journalist who grew up in the middle of the maelstrom. (S.R.)