Hear songs from her new LP in conversation with ones from the past.Chantal Anderson for The New York TimesDear listeners,In May 2021, Olivia Rodrigo, then 18 years old, released her debut album, “Sour.” Earlier that year, the singer-songwriter had become an overnight sensation with her heart-tugging, piano-driven ballad “Drivers License,” but “Sour” proved that there was so much more to her than that: She could also pull off dreamy alt-rock (“Deja Vu”), spiky pop-punk (“Good 4 U”) and sharp social commentary (“Jealousy, Jealousy”). In a review I wrote at the time, I noted that “Rodrigo’s songs have lived-in details to spare, as though she had all this time been assembling a detailed dossier on the emotional minutiae of the teenage experience.”“Sour” felt as if it were signaling the sudden arrival of a major talent — and those are often the trickiest albums to follow up. As the Amplifier’s very own editor, Caryn Ganz, wrote in a recent profile of Rodrigo, “crafting the follow-up to a smash debut is music’s most daunting crucible, and Rodrigo felt the pressure to make a diamond.”Rodrigo’s sophomore album, “Guts,” is finally out today, and I am here to report some good news: It’s a diamond.Listening to “Guts” for the first time reminded me of when I initially heard Lorde’s great 2017 sophomore album, “Melodrama.” The albums don’t sound much alike — Rodrigo gravitates more toward rock aesthetics — but both feel like thrilling fulfillments of potential, two distinct artists staying true to what made them special while expanding the scope of their perspectives and ambitions. Both musicians are former teen phenoms who returned to the spotlight at age 20. And both, I can now say, made awesome second albums.Something particular I appreciate about Rodrigo’s music is the way it pulls from a lot of genres that have historically been male-dominated — pop-punk, emo, angsty alt-rock — and enlivens them with the vivid perspective of an idiosyncratic young woman. I cannot overstate how much I needed a voice like hers when I was a teenager, listening to rock music that blamed The Girl for everything, and that sometimes even indulged in violent revenge fantasies about her, always figuring her as the object and never the subject. I felt like I was supposed to be a specific sort of girl, the kind Rodrigo sketches and then obliterates on the opening track of “Guts,” when she sings in an exaggerated lilt, “I’m all right with the movies that make jokes ’bout senseless cruelty, that’s for sure.” Then she kicks the distortion pedal and says, so cathartically, the hell with that. She’s going to be herself — witty, a little awkward, convincingly weird — and write herself into the story.On both of her albums, Rodrigo mashes up genres and influences in a way that feels genuinely fresh. Which is why it was so disappointing when two of her stated idols, Taylor Swift and Paramore, suddenly received writing credits on two of the biggest hits from “Sour” after they were released. I prefer to think of it the way Elvis Costello did, when he responded to a tweet suggesting that the chord progression of Rodrigo’s song “Brutal” sounds similar to Costello’s 1978 hit with the Attractions, “Pump It Up.” “This is fine by me,” Costello wrote. “It’s how rock and roll works. You take the broken pieces of another thrill and make it a brand new toy. That’s what I did.” (He hashtagged the post with the titles of the Bob Dylan and Chuck Berry songs that had, in turn, inspired “Pump It Up.”)In that spirit, today’s playlist is a celebration of the many musical influences I hear on “Guts,” putting them in conversation with some of the album’s tracks to create new connections and pathways of inspiration. I limited myself to including only songs released before Rodrigo was alive, which was not difficult, as she was born in [deep sigh] 2003. Good 4 her.This is the rare playlist that features both Billy Joel and Bikini Kill; a track from Carole King’s 1971 album “Tapestry” and one off Saves the Day’s 2001 album “Stay What You Are.” Like the best of us, Olivia Rodrigo contains multitudes. And, of course, guts.Listen along on Spotify as you read.1. Olivia Rodrigo: “All-American Bitch”In the tradition of “Brutal,” which kicked off Rodrigo’s “Sour,” the propulsive “Guts” opener plays around with dynamics and stylistic contrasts to convey the impossible tension of being a young American girl. (She stumbled across the title phrase while reading Joan Didion’s essay collection “The White Album” — a young American girl rite of passage.) As the song progresses, it becomes clear that the eponymous perfect specimen of femininity is actually stifling fiction: “I don’t get angry when I’m pissed, I’m the eternal optimist,” an angsty Rodrigo shouts atop boisterously crunchy guitars, suggesting otherwise. (Listen on YouTube)2. Veruca Salt: “Volcano Girls”When I saw Rodrigo live last April at Radio City Music Hall, she played a cover that somehow felt both out-of-left-field and obvious: Veruca Salt’s 1994 alt-rock hit “Seether.” I hear a lot of Veruca Salt on “Guts,” particularly in Rodrigo’s penchant for caking buoyant pop melodies in grungy guitar distortion. “Seether” may have been the clearer choice, but I slightly prefer this even higher-octane single from the band’s 1996 album “Eight Arms to Hold You.” (Listen on YouTube)3. Olivia Rodrigo: “Bad Idea Right?”This spunky, self-deprecating second single from “Guts” has been stuck in my head approximately 80 percent of the time since it was released last month. And you know what? I’m OK with that. (Listen on YouTube)4. Toni Basil: “Mickey”Fun fact: When the choreographer, actress and occasional pop star Toni Basil released the video for her 1981 hit “Mickey,” she was in her late 30s. In a recent interview, Rodrigo, who is much closer in age to an actual high school cheerleader, named “Mickey” as a song she wishes she’d written herself. She definitely makes those cheerleader-chant vocals her own on “Bad Idea Right?” (Listen on YouTube)5. Olivia Rodrigo: “Vampire”There’s a precise moment in this song — the leadoff single from “Guts,” and her third No. 1 on the Billboard Hot 100 — that sets Rodrigo apart from her bedroom-pop peers: that wrenching, elegantly escalating melodic climb in the chorus when she sings about “the way you sold me for parts as you sunk your teeth into me.” Restraint is key, but Rodrigo also knows exactly when, and how, to let it rip. (Listen on YouTube)6. Billy Joel: “You May Be Right”On the “Sour” single “Deja Vu,” Rodrigo shouted out the piano man himself, while mocking an ex’s predictable taste: “I bet that she knows Billy Joel ’cause you played her ‘Uptown Girl.’” Last summer, she joined Joel onstage at Madison Square Garden to play “Deja Vu” (“I couldn’t have written this next song without you,” she told him) and, of course, “Uptown Girl.” But there’s a subtler link to Joel in the verbose, musical-theater-like cadences of Rodrigo’s writing, too, that I hear on some of her piano-driven songs. (Listen on YouTube)7. Olivia Rodrigo: “Ballad of a Homeschooled Girl”This deliriously catchy ode to social anxiety might be my favorite song on the record? But “Guts” has enough highlights that I’m sure that will change a few times, too. (Listen on YouTube)8. That Dog.: “Never Say Never”Another sweetly sour, underappreciated ’90s jam that I believe Rodrigo should cover on her next tour. (Listen on YouTube)9. Olivia Rodrigo: “Logical”Though “Guts” is full of upbeat pop-rock songs, this highlight proves Rodrigo can still pull off a heart-stopping piano ballad with the best of them. “If rain don’t pour and the sun don’t shine,” she sings with a lump in her throat, “then changing you is possible/No, love is never logical.” (Listen on YouTube)10. Carole King: “Will You Still Love Me Tomorrow?”Speaking of ballads written by and about teenagers, Carole King — a Rodrigo fan who said in a recent Vogue interview that Rodrigo “begins by speaking for herself, but she speaks, in the end, for so many young women” — composed the music to this wistful 1960 Shirelles hit when she was a little younger than Rodrigo is now. She recorded it herself a decade later, for her classic album “Tapestry,” and brought a new maturity to words written by her ex-husband Gerry Goffin, proving, as Rodrigo often does, that songs about young love can have hidden wisdom and unexpected depths. (Listen on YouTube)11. Olivia Rodrigo: “Get Him Back!”Rodrigo finds out why lust rhymes with disgust on this playful, infectious and dryly hilarious singalong. “Do I love him, do I hate him? I guess it’s up and down,” Rodrigo deadpans, before choosing a double entendre that allows her to have it both ways: “If I had to choose, I would say right now, I want to get him back!” (Listen on YouTube)12. Saves the Day: “At Your Funeral”The icky, squirmy do-I-love-them-or-wish-they-were-dead quality of “Get Him Back!” is reminiscent of the early aughts emo exemplified by bands like Saves the Day, Taking Back Sunday and As Tall As Lions, the group that the songwriter and producer Daniel Nigro fronted before coming Rodrigo’s chief collaborator. Not all of these songs have aged particularly well, but I believe that “At Your Funeral” still very much goes. (Listen on YouTube)13. Olivia Rodrigo: “Love Is Embarrassing”Or is this my favorite song on “Guts”? It’s got some new wave, a little bit of riot grrrl and a whole lot of Rodrigo’s effervescent personality. (Listen on YouTube)14. Bikini Kill: “Reject All American”I hear some major Kathleen Hanna ’tude at the end of “Love Is Embarrassing.” (Hanna, in turn, confessed in Ganz’s profile to “sobbing in my car” the first time she heard Rodrigo’s “Drivers License.” Game recognize game.) (Listen on YouTube)15. Olivia Rodrigo, “Teenage Dream”Let’s let Rodrigo have the last word with this poignant closing track. “They all say that it gets better,” she sings atop a gradually building piano arrangement, laying her insecurities bare. “It get better, but what if I don’t?” I appreciate the way she lets the question hang in the air, even as the preceding album has proved that she does. (Listen on YouTube)Searching “how to start a conversation” on a website,LindsayThe Amplifier PlaylistListen on Spotify. We update this playlist with each new newsletter.“A Deep Dive Into Olivia Rodrigo’s ‘Guts’” track listTrack 1: Olivia Rodrigo, “All-American Bitch”Track 2: Veruca Salt, “Volcano Girls”Track 3: Olivia Rodrigo, “Bad Idea Right?”Track 4: Toni Basil, “Mickey”Track 5: Olivia Rodrigo, “Vampire”Track 6: Billy Joel, “You May Be Right”Track 7: Olivia Rodrigo, “Ballad of a Homeschooled Girl”Track 8: That Dog., “Never Say Never”Track 9: Olivia Rodrigo, “Logical”Track 10: Carole King, “Will You Still Love Me Tomorrow?”Track 11: Olivia Rodrigo, “Get Him Back!”Track 12: Saves the Day, “At Your Funeral”Track 13: Olivia Rodrigo, “Love Is Embarrassing”Track 14: Bikini Kill, “Reject All American”Track 15: Olivia Rodrigo, “Teenage Dream”Bonus tracksYou don’t just have to take my word for it: Jon Caramanica named “Guts” a Critic’s Pick. Read his take on the album here.Plus, in this week’s new music Playlist, the Rolling Stones are back! Listen to their new single “Angry,” along with fresh tracks from Ashley McBryde, Allison Russell and more, here. More