On the heels of Joseph Gordon-Levitt’s charming New Year’s Eve duet with Zooey Deschanel, the “Dark Knight Rises” actor can’t stop singing. Gordon-Levitt stopped by The Sayers Club in Hollywood on Thursday, where the popular weekly Corzo Sessions from Jason Scoppa inspires many a bold name to get up and perform. Joseph arrived with friends for the live music jam and wound up stealing the show with his rendition of the Top Notes classic “Twist and Shout.” Other performances included Gene Simmons’ spawn Nick belting The Doors song “L.A. Woman” and Amie Miriello taking on a Cold War Kids cover. Perhaps Levitt was just warming up for Saturday’s big New Year’s Eve night out. … Though Robert Pattinson and Kristen Stewart spent the Christmas holidays with their respective families this year — on different continents — the couple exchanged some impressive gifts to serve as romantic reminders. For Pattinson, Stewart nabbed two vintage guitars (a 1959 Fender Jazzmaster and a 1947 K&F Lap Steel, for you music buffs). The instruments cost something to the tune of $12,000. “She said, ‘He’s gonna … when he sees them!’” the owner of Norman’s Rare Guitars in Tarzana, Calif., told Us Weekly, which first reported the “Twilight Saga” heroine’s purchase. Pattinson was spotted on Christmas Eve in London palling around with his close friend Tom Sturridge’s ex-girlfriend. Stewart was said to be in stateside in Los Angeles with her family. Stewart got some creature comforts of her own, however, courtesy of her “Water for Elephants” hunk: around $500 worth of vintage furniture — lamps and a wooden bench — from an L.A. operation called TINI, reports popsugar.com.