Child actor from the age of three, 13 years the frontwoman for indie-rock band Rilo Kiley, now a solo artist with the clout to cast Anne Hathaway and Kristen Stewart in a video – Jenny Lewis has lived her whole life in the entertainment business bubble. And yet the Las Vegas-born songwriter has an uncanny knack for easy relatability. Case in point tonight, her third number, Just One of the Guys – an outwardly breezy FM pop song, rawly asserting a woman's right to do it like a dude, even if she does feel broody. As she sings with a foot planted on the monitor, looking implausibly cool in a flowing lilac gown and white flares, thrumming a pastel-painted acoustic guitar – a getup part Stevie Nicks, part Rod, Jane and Freddy – who wouldn't want to be Lewis?

While principally showcasing her excellent Ryan Adams and Beck-produced new album The Voyager, this set ranges wide, and the highlights derive from elsewhere in her repertoire. Despite her old band being now officially split, there's a surprising number of Rilo Kiley songs – Silver Lining as an opener, A Better Son/Daughter and With Arms Outstretched. It's the chameleonic eight-minute country-rock opus The Next Messiah, from Lewis's debut solo album Acid Tongue, that shakes the show to life; come the encore, Acid Tongue's title track proves to be a matching showstopper – a campfire ballad about tripping down in Dixie, sung with her five-piece band lock-armed around her, providing choral backing vocals that raise goose bumps.

But it's the new songs that best frame how self-assuredly Lewis turns close-angle shots of her imperfect world into great pop, even when Aloha and the Three Johns, an ode to a crummy holiday, is prefaced with a story about witnessing a tramp in Hawaii urinating into his own mouth. "I couldn't fit that into a verse," Lewis concedes.

• Touring until 13 September. Details: jennylewis.com